Edit / JSON / View on GitHub

Built 0a4bdc1 successfully in 2m20s

Fixed typo.

by: Jendrik Stelzner | on Sep 1st | view on GitHub

Artifacts

Build Output (raw)

This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 \write18 enabled.
entering extended mode
(./master.tex
LaTeX2e <2014/05/01>
Babel <3.9l> and hyphenation patterns for 79 languages loaded.
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbook.cls
Document Class: scrbook 2013/12/19 v3.12 KOMA-Script document class (book)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrkbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlfile.sty
Package scrlfile, 2013/12/19 v3.12 KOMA-Script package (loading files)
                  Copyright (C) Markus Kohm

))) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/tocbasic.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrsize10pt.clo)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/typearea.sty
Package typearea, 2013/12/19 v3.12 KOMA-Script package (type area)
                  Copyright (C) Frank Neukam, 1992-1994
                  Copyright (C) Markus Kohm, 1994-

)) (./mystyle.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty)
(/usr/share/texlive/texmf-dist/tex/latex/appendix/appendix.sty)
(/usr/share/texlive/texmf-dist/tex/latex/arydshln/arydshln.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.sty
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex2.sty
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty
(/usr/share/texlive/texmf-dist/tex/latex/etex-pkg/etex.sty))
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/etexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifluatex.sty))))
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.sty
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-dm.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-compat.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/alphabetic.bbx
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/standard.bbx))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/cbx/alphabetic.cbx)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty)
(/usr/share/texlive/texmf-dist/tex/latex/extarrows/extarrows.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty))
(/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg))

Package hyperref Message: Driver (autodetected): hxetex.

(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hxetex.def
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty))
(/usr/share/texlive/texmf-dist/tex/latex/lastpage/lastpage.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xltxtra/xltxtra.sty
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3-code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3unicode-data.def)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3xdvipdfmx.def))
(/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-patches.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-xetex.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmr.fd))
(/usr/share/texlive/texmf-dist/tex/xelatex/xunicode/xunicode.sty
(/usr/share/texmf/tex/latex/tipa/t3enc.def
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmss.fd))
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/xelatex/xetex-def/xetex.def))))
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/realscripts/realscripts.sty)
(/usr/share/texlive/texmf-dist/tex/latex/metalogo/metalogo.sty))
(/usr/share/texlive/texmf-dist/tex/latex/ellipsis/ellipsis.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/xspace.sty))
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer-scrpage.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer.sty))
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
(/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.de
f))))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.
tex)) (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.
code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformation
s.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.t
ex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.
tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.
tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65
.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18
.sty)) (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarytopaths.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarypositioning.code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/libraries/tikzlibrar
yexternal.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zexternalshared.code.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/lbx/english.lbx)
No file master.aux.
(/usr/share/texmf/tex/latex/tipa/t3cmr.fd)
No file master.bbl.
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty))

Package hyperref Warning: Rerun to get /PageLabels entry.

ABD: EveryShipout initializing macros
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/se-ascii-print.def)
[1] (./preface.tex

LaTeX Warning: Citation 'Humphreys' on page 2 undefined on input line 3.

) [2] [3] [4] (./basics.tex
Chapter 1.
(./basics/basic_definitions.tex
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd) [1] [2] [3] [4]
[5]
! Package tikz Warning: The key 'up to date check=md5' is impossible, there is 
no macro to compute MD5. Falling back to 'up to date check=diff'.This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/universal_property_of_quotient_of_lie_algebras" 
"\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/universal_property_of_quotient_of_lie_algebras.pdf" > [6]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/universal_property_of_abelization" "\def\tikzext
ernalrealjob{master}\input{master}"' ========
<use  "tikz/universal_property_of_abelization.pdf" > [7]

LaTeX Warning: Reference `lem: quasi extension of scalars for Lie algebras' on 
page 8 undefined on input line 526.

[8] [9]

LaTeX Warning: Reference `expls: homomorphisms of Lie algebras' on page 10 unde
fined on input line 700.

[10]) (./basics/representations.tex [11]

LaTeX Warning: Reference `eqn: representation via action' on page 12 undefined 
on input line 37.

[12]

LaTeX Warning: Reference `lem: Lie algebras act adjoint by derivations' on page
 13 undefined on input line 161.

[13] [14] [15] [16] [17] [18])) [19] (./slightly_advanced_basics.tex
Chapter 2.
(./slightly_advanced_basics/nilpotent_and_solvable_Lie_algebras.tex [20]
[21]

LaTeX Warning: Reference `prop: properties of solvable and nilpotent' on page 2
2 undefined on input line 125.


LaTeX Warning: Reference `cor: solvable via ses' on page 22 undefined on input 
line 150.


LaTeX Warning: Reference `cor: sum of solvable ideals is solvable' on page 22 u
ndefined on input line 155.

[22] [23]

LaTeX Warning: Reference `enum: engels g consists of nilpotent endomorphisms' o
n page 24 undefined on input line 222.


LaTeX Warning: Reference `enum: engels there exists a complete flag shifted by 
g' on page 24 undefined on input line 222.


LaTeX Warning: Reference `enum: engels there exists a complete flag shifted by 
g' on page 24 undefined on input line 245.


LaTeX Warning: Reference `enum: engels represented by strictly upper triangular
 matrices' on page 24 undefined on input line 245.


LaTeX Warning: Reference `enum: engels represented by strictly upper triangular
 matrices' on page 24 undefined on input line 245.


LaTeX Warning: Reference `enum: engels g consists of nilpotent endomorphisms' o
n page 24 undefined on input line 245.


LaTeX Warning: Reference `prop: stuff for Engels theorem' on page 24 undefined 
on input line 255.


LaTeX Warning: Reference `prop: properties of solvable and nilpotent' on page 2
4 undefined on input line 255.

[24]

LaTeX Warning: Reference `prop: common eigenvector for nilpotent Lie algebras' 
on page 25 undefined on input line 271.


LaTeX Warning: Reference `LastPage' on page 25 undefined on input line 281.

[25]

LaTeX Warning: Reference `eqn: invariance lemma zero trace' on page 26 undefine
d on input line 337.


LaTeX Warning: Reference `prop: common eigenvector for nilpotent Lie algebras' 
on page 26 undefined on input line 341.

[26]

LaTeX Warning: Reference `prop: common eigenvector for nilpotent Lie algebras' 
on page 27 undefined on input line 350.


LaTeX Warning: Citation 'Humphreys' on page 27 undefined on input line 373.


LaTeX Warning: Reference `prop: common eigenvector for nilpotent Lie algebras' 
on page 27 undefined on input line 373.

[27]

LaTeX Warning: Reference `cor: irreducible representations of solvable Lie alge
bras are onedimenisonal' on page 28 undefined on input line 413.


LaTeX Warning: Reference `cor: irreducible representations of solvable Lie alge
bras are onedimenisonal' on page 28 undefined on input line 413.


LaTeX Warning: Reference `thrm: Lie’s theorem' on page 28 undefined on input li
ne 415.


LaTeX Warning: Reference `cor: irreducible representations of solvable Lie alge
bras are onedimenisonal' on page 28 undefined on input line 415.


LaTeX Warning: Reference `cor: irreducible representations of solvable Lie alge
bras are onedimenisonal' on page 28 undefined on input line 420.

[28]) (./slightly_advanced_basics/Killing_form_and_Cartans_criterion.tex

LaTeX Warning: Reference `prop: new representations from old ones' on page 29 u
ndefined on input line 19.


LaTeX Warning: Reference `prop: new representations from old ones' on page 29 u
ndefined on input line 43.

[29]

LaTeX Warning: Reference `lem: orthogonal complement of an ideal is again an id
eal' on page 30 undefined on input line 102.

[30]

LaTeX Warning: Reference `eqn: product of elementary matrices' on page 31 undef
ined on input line 162.

[31]

LaTeX Warning: Reference `lem: killing form is associative and symmetric' on pa
ge 32 undefined on input line 210.


LaTeX Warning: Reference `expl: Killing form of gl_n' on page 32 undefined on i
nput line 242.


LaTeX Warning: Reference `lem: restriction of the Killing form to an ideal' on 
page 32 undefined on input line 247.


LaTeX Warning: Reference `lem: restriction of the Killing form to an ideal' on 
page 32 undefined on input line 266.

[32]

LaTeX Warning: Reference `eqn: congruences of P' on page 33 undefined on input 
line 325.


LaTeX Warning: Reference `eqn: use of chinese reminder theorem' on page 33 unde
fined on input line 325.


LaTeX Warning: Reference `eqn: congruences of P' on page 33 undefined on input 
line 325.

[33]

LaTeX Warning: Reference `eqn: use of chinese reminder theorem' on page 34 unde
fined on input line 333.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 34 undef
ined on input line 363.

[34]

LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 35 undef
ined on input line 368.


LaTeX Warning: Reference `rem: concrete Jordan decomposition for matrices' on p
age 35 undefined on input line 368.


LaTeX Warning: Reference `lem: nilpotent implies ad-nilpotent' on page 35 undef
ined on input line 412.


LaTeX Warning: Reference `lem: ss and nilpotent implies ad-ss and ad-nilpotent'
 on page 35 undefined on input line 422.

[35]

LaTeX Warning: Reference `cor: concrete Jordan decomposition compatible with ad
joint representation' on page 36 undefined on input line 440.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 36 undef
ined on input line 440.


LaTeX Warning: Reference `cor: concrete Jordan decomposition compatible with ad
joint representation' on page 36 undefined on input line 459.

[36]

LaTeX Warning: Reference `lem: Cartan's criterion technical lemma' on page 37 u
ndefined on input line 481.


LaTeX Warning: Citation 'Humphreys' on page 37 undefined on input line 481.


LaTeX Warning: Reference `lem: Cartan's criterion technical lemma' on page 37 u
ndefined on input line 506.

[37]

LaTeX Warning: Reference `lem: orthogonal complement of an ideal is again an id
eal' on page 38 undefined on input line 533.


LaTeX Warning: Reference `lem: restriction of the Killing form to an ideal' on 
page 38 undefined on input line 533.

) (./slightly_advanced_basics/universal_enveloping_algebra.texThis is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/universal_property_of_universal_enveloping_algeb
ra" "\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/universal_property_of_universal_enveloping_algebra.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/uniqueness_of_universal_enveloping_algebra" "\de
f\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/uniqueness_of_universal_enveloping_algebra.pdf" > [38]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode


LaTeX Warning: Reference `prop: representations of lie algebra isomorphic to mo
dules over the universal enveloping algebra' on page 39 undefined on input line
 71.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/functoriality_of_the_universal_enveloping_algebr
a" "\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/functoriality_of_the_universal_enveloping_algebra.pdf" > [39]
[40]

LaTeX Warning: Reference `defi: graded algebras' on page 41 undefined on input 
line 182.

[41] [42] [43]

LaTeX Warning: Reference `expls: graded algebras' on page 44 undefined on input
 line 392.


LaTeX Warning: Reference `prop: associated graded algebra and zero divisors' on
 page 44 undefined on input line 410.

[44]

LaTeX Warning: Reference `lem: pbw concrete generating part' on page 45 undefin
ed on input line 485.

[45]

LaTeX Warning: Reference `enum: pbw restriction coincides' on page 46 undefined
 on input line 519.


LaTeX Warning: Citation 'Humphreys' on page 46 undefined on input line 519.


LaTeX Warning: Reference `enum: pbw restriction coincides' on page 46 undefined
 on input line 522.


LaTeX Warning: Reference `enum: pbw essential condition' on page 46 undefined o
n input line 524.


LaTeX Warning: Reference `enum: pbw essential condition' on page 46 undefined o
n input line 524.


LaTeX Warning: Reference `enum: pbw technical detail for construction' on page 
46 undefined on input line 524.


LaTeX Warning: Reference `enum: pbw restriction coincides' on page 46 undefined
 on input line 524.


LaTeX Warning: Reference `enum: pbw representation of lie algebra' on page 46 u
ndefined on input line 524.


LaTeX Warning: Reference `enum: pbw restriction coincides' on page 46 undefined
 on input line 526.


LaTeX Warning: Reference `enum: pbw essential condition' on page 46 undefined o
n input line 526.


LaTeX Warning: Reference `enum: pbw representation of lie algebra' on page 46 u
ndefined on input line 528.

[46]

LaTeX Warning: Reference `enum: pbw restriction coincides' on page 47 undefined
 on input line 553.


LaTeX Warning: Reference `enum: pbw essential condition' on page 47 undefined o
n input line 553.


LaTeX Warning: Reference `enum: pbw technical detail for construction' on page 
47 undefined on input line 553.


LaTeX Warning: Reference `enum: pbw essential condition' on page 47 undefined o
n input line 553.


LaTeX Warning: Reference `eqn: I really wish Humphreys had explained this' on p
age 47 undefined on input line 553.


LaTeX Warning: Reference `enum: pbw representation of lie algebra' on page 47 u
ndefined on input line 555.


LaTeX Warning: Reference `eqn: action defined as lie action' on page 47 undefin
ed on input line 557.


LaTeX Warning: Reference `enum: pbw essential condition' on page 47 undefined o
n input line 557.


LaTeX Warning: Reference `enum: pbw representation of lie algebra' on page 47 u
ndefined on input line 559.


LaTeX Warning: Reference `enum: pbw representation of lie algebra' on page 47 u
ndefined on input line 581.

[47]

LaTeX Warning: Reference `eqn: induced isomorphism of graded algebras' on page 
48 undefined on input line 636.


LaTeX Warning: Reference `thrm: pbw abstract' on page 48 undefined on input lin
e 650.


LaTeX Warning: Reference `lem: pbw concrete generating part' on page 48 undefin
ed on input line 654.

[48]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode


LaTeX Warning: Reference `prop: associated graded algebra and zero divisors' on
 page 49 undefined on input line 677.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/universal_property_of_the_free_Lie_algebra" "\de
f\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/universal_property_of_the_free_Lie_algebra.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/uniqueness_of_the_free_Lie_algebra" "\def\tikzex
ternalrealjob{master}\input{master}"' ========
<use  "tikz/uniqueness_of_the_free_Lie_algebra.pdf" > [49]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/construction_of_free_Lie_algebra" "\def\tikzexte
rnalrealjob{master}\input{master}"' ========
<use  "tikz/construction_of_free_Lie_algebra.pdf" >

LaTeX Warning: Reference `lem: existince of free Lie algebras' on page 50 undef
ined on input line 749.

[50]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/universal_enveloping_algebra_of_the_free_Lie_alg
ebra" "\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/universal_enveloping_algebra_of_the_free_Lie_algebra.pdf" >
[51]

LaTeX Warning: Reference `defi: definition of Casimir element' on page 52 undef
ined on input line 849.


LaTeX Warning: Reference `eqn: Casimir without coordinates' on page 52 undefine
d on input line 855.


LaTeX Warning: Reference `prop: list of homomorphism of representations' on pag
e 52 undefined on input line 859.


LaTeX Warning: Reference `prop: list of homomorphism of representations' on pag
e 52 undefined on input line 861.


LaTeX Warning: Reference `lem: associative bilinear form induces homomorphism o
f representations' on page 52 undefined on input line 861.


LaTeX Warning: Reference `eqn: Casimir without coordinates' on page 52 undefine
d on input line 876.


LaTeX Warning: Reference `defi: definition of Casimir element' on page 52 undef
ined on input line 876.

[52]

LaTeX Warning: Reference `defi: definition of Casimir element' on page 53 undef
ined on input line 910.


LaTeX Warning: Reference `eqn: Casimir without coordinates' on page 53 undefine
d on input line 910.


LaTeX Warning: Reference `lem: casimir in coordinates' on page 53 undefined on 
input line 915.

)) [53] (./semisimple_Lie_algebras.tex
Chapter 3.
(./semisimple_Lie_algebras/definition_of_semisimple_Lie_algebras.tex

LaTeX Warning: Reference `cor: decomposition of semisimple Lie algebra unique u
p to order' on page 54 undefined on input line 55.

[54]

LaTeX Warning: Reference `enum: definition semisimple Lie algebra radical is ze
ro' on page 55 undefined on input line 75.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra killing form 
nondegenerate' on page 55 undefined on input line 75.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra killing form 
nondegenerate' on page 55 undefined on input line 77.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra sum of simple
 ideals' on page 55 undefined on input line 77.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra radical is ze
ro' on page 55 undefined on input line 85.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra killing form 
nondegenerate' on page 55 undefined on input line 85.


LaTeX Warning: Reference `lem: orthogonal ideals with respect to the killing fo
rm' on page 55 undefined on input line 85.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra sum of simple
 ideals' on page 55 undefined on input line 91.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra product of si
mple Lie algebras' on page 55 undefined on input line 91.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra product of si
mple Lie algebras' on page 55 undefined on input line 93.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra radical is ze
ro' on page 55 undefined on input line 93.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra radical is ze
ro' on page 55 undefined on input line 95.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra no nonzero ab
elian ideals' on page 55 undefined on input line 95.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra no nonzero ab
elian ideals' on page 55 undefined on input line 97.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra radical is ze
ro' on page 55 undefined on input line 97.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra killing form 
nondegenerate' on page 55 undefined on input line 105.


LaTeX Warning: Reference `enum: definition semisimple Lie algebra sum of simple
 ideals' on page 55 undefined on input line 105.


LaTeX Warning: Reference `cor: decomposition of semisimple Lie algebra unique u
p to order' on page 55 undefined on input line 105.

[55]

LaTeX Warning: Reference `cor: associative non-degenerate bilinear forms induce
 isomorphism to the dual' on page 56 undefined on input line 125.


LaTeX Warning: Reference `lem: associative bilinear form induces homomorphism o
f representations' on page 56 undefined on input line 137.


LaTeX Warning: Reference `cor: semisimple Lie algebra identification with dual 
space' on page 56 undefined on input line 141.

) (./semisimple_Lie_algebras/weyls_theorem.tex [56]

LaTeX Warning: Reference `rem: associative bilinear form of a representation' o
n page 57 undefined on input line 24.


LaTeX Warning: Reference `lem: Cartans criterion for linear Lie algebra' on pag
e 57 undefined on input line 26.


LaTeX Warning: Reference `cor: Casimir homomorphism of a representation' on pag
e 57 undefined on input line 28.


LaTeX Warning: Reference `defi: casimir endomorphism of a faithful representati
on' on page 57 undefined on input line 51.


LaTeX Warning: Reference `defi: casimir endomorphism of a faithful representati
on' on page 57 undefined on input line 59.


LaTeX Warning: Reference `cor: ideals and quotients of semisimple again semisim
ple' on page 57 undefined on input line 74.


LaTeX Warning: Reference `lem: Casimirs endomorphism for Weyl' on page 57 undef
ined on input line 76.


LaTeX Warning: Reference `lem: Casimirs endomorphism for Weyl' on page 57 undef
ined on input line 76.

[57]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode


LaTeX Warning: Reference `lem: decomposition of representations of semisimple L
ie algebras' on page 58 undefined on input line 102.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/proof_of_weyls_theorem" "\def\tikzexternalrealjo
b{master}\input{master}"' ========
<use  "tikz/proof_of_weyls_theorem.pdf" >

LaTeX Warning: Reference `rem: homomorphisms of representations as invariants' 
on page 58 undefined on input line 126.

[58]

LaTeX Warning: Reference `expls: representations of Lie algebras' on page 59 un
defined on input line 151.

) (./semisimple_Lie_algebras/sl2_theory.tex [59]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/irreducible_representation_of_sl2" "\def\tikzext
ernalrealjob{master}\input{master}"' ========
<use  "tikz/irreducible_representation_of_sl2.pdf" > [60]

LaTeX Warning: Reference `expls: representations of Lie algebras' on page 61 un
defined on input line 139.


LaTeX Warning: Reference `lem: e and f moving the eigenspaces' on page 61 undef
ined on input line 163.


LaTeX Warning: Reference `lem: e and f moving the eigenspaces' on page 61 undef
ined on input line 165.

[61]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/irreducible_representation_of_sl2_construction" 
"\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/irreducible_representation_of_sl2_construction.pdf" >

LaTeX Warning: Reference `expl: natural representation of sl2' on page 62 undef
ined on input line 253.

[62]

LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 63 und
efined on input line 342.


LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 63 und
efined on input line 354.

[63]

LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 64 und
efined on input line 361.

[64]

LaTeX Warning: Reference `eqn: eigenspace of a finite dimensional representatio
n' on page 65 undefined on input line 412.

[65]

LaTeX Warning: Reference `eqn: decomposition of 4 tensor 5' on page 66 undefine
d on input line 475.


LaTeX Warning: Reference `thrm: finite dimensional representations of sl2' on p
age 66 undefined on input line 475.


LaTeX Warning: Reference `eqn: Clebsch Gordan by counting' on page 66 undefined
 on input line 505.


LaTeX Warning: Reference `eqn: Clebsch Gordan by counting' on page 66 undefined
 on input line 505.


LaTeX Warning: Reference `eqn: Clebsch Gordan by counting' on page 66 undefined
 on input line 505.


LaTeX Warning: Reference `fig: solutions for counting dimensions' on page 66 un
defined on input line 505.


LaTeX Warning: Reference `fig: solutions for counting dimensions' on page 66 un
defined on input line 505.


LaTeX Warning: Reference `thrm: finite dimensional representations of sl2' on p
age 66 undefined on input line 539.


LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 66 undefined on input
 line 547.

[66] [67]

LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 68 undefined on input
 line 600.

) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 68 undef
ined on input line 2.


LaTeX Warning: Citation 'Humphreys' on page 68 undefined on input line 2.


LaTeX Warning: Reference `lem: ss and nilpotent implies ad-ss and ad-nilpotent'
 on page 68 undefined on input line 11.

[68]

LaTeX Warning: Reference `cor: representation of semisimple Lie algebra are tra
celess' on page 69 undefined on input line 19.


LaTeX Warning: Reference `lem: direct complement of semisimple ideals' on page 
69 undefined on input line 25.

[69]

LaTeX Warning: Reference `lem: generalized eigenspace decomposition for derivat
ions' on page 70 undefined on input line 77.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 70 undef
ined on input line 85.

[70]

LaTeX Warning: Reference `lem: orthogonal complement of an ideal is again an id
eal' on page 71 undefined on input line 108.


LaTeX Warning: Reference `lem: inner derivations are in ideal' on page 71 undef
ined on input line 116.


LaTeX Warning: Reference `lem: direct complement of semisimple ideals' on page 
71 undefined on input line 116.


LaTeX Warning: Reference `lem: every derivation of a semisimple Lie algebra is 
inner' on page 71 undefined on input line 130.


LaTeX Warning: Reference `lem: derivations contain the ss and np part of all it
s elements' on page 71 undefined on input line 130.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 71 undef
ined on input line 130.


LaTeX Warning: Reference `thrm: abstract Jordan decomposition' on page 71 undef
ined on input line 135.


LaTeX Warning: Reference `defi: definition of abstract ss and np' on page 71 un
defined on input line 140.


LaTeX Warning: Reference `lem: semisimple linear Lie algebra containing the sem
isimple and nilpotent parts of its elements' on page 71 undefined on input line
 148.


LaTeX Warning: Reference `lem: ss and nilpotent implies ad-ss and ad-nilpotent'
 on page 71 undefined on input line 148.


LaTeX Warning: Reference `prop: abstract and concrete Jordan decomposition coin
cide' on page 71 undefined on input line 153.

[71]

LaTeX Warning: Reference `lem: functoriality of the Jordan decomposition for li
near Lie algebras' on page 72 undefined on input line 172.

) (./semisimple_Lie_algebras/cartan_subalgebras.tex [72] [73]

LaTeX Warning: Reference `cor: restriction of killing form to centralizer is no
n-degenerate' on page 74 undefined on input line 152.


LaTeX Warning: Reference `cor: ideal in nilpotent has nontrivial intersection w
ith center' on page 74 undefined on input line 154.


LaTeX Warning: Reference `lem: root spaces orthogonal with respect to the Killi
ng form' on page 74 undefined on input line 169.

[74]

LaTeX Warning: Reference `prop: CSA are self-centralizing' on page 75 undefined
 on input line 174.


LaTeX Warning: Citation 'Humphreys' on page 75 undefined on input line 174.


LaTeX Warning: Reference `cor: g alpha and g -alpha pair non degenerate with th
e Killing form' on page 75 undefined on input line 222.


LaTeX Warning: Reference `cor: g alpha and g -alpha pair non degenerate with th
e Killing form' on page 75 undefined on input line 237.

[75]

LaTeX Warning: Reference `rem: construction of S alpha' on page 76 undefined on
 input line 277.


LaTeX Warning: Reference `rem: construction of S alpha' on page 76 undefined on
 input line 291.

[76]

LaTeX Warning: Reference `rem: construction of S alpha' on page 77 undefined on
 input line 330.

[77]

LaTeX Warning: Reference `rem: construction of S alpha' on page 78 undefined on
 input line 358.


LaTeX Warning: Reference `prop: integral and reflection properties of root pair
ing' on page 78 undefined on input line 360.

)) [78] (./root_systems.tex
Chapter 4.
(./root_systems/abstract_root_systems.texThis is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode


LaTeX Warning: Reference `defi: notation of natural pairing' on page 79 undefin
ed on input line 19.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/natural_pairing_compatible_with_natural_homomorp
hism" "\def\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/natural_pairing_compatible_with_natural_homomorphism.pdf" >
[79]

LaTeX Warning: Reference `rem: -alpha also in the root system' on page 80 undef
ined on input line 67.


LaTeX Warning: Reference `eqn: iterated composition of reflections' on page 80 
undefined on input line 91.


LaTeX Warning: Reference `rem: natural pairing is nondegenerate' on page 80 und
efined on input line 91.

)) [80] [81] (./appendix.tex (./appendix/Hopf_algebras.texThis is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

Appendix A.

LaTeX Warning: Citation 'Brown' on page 82 undefined on input line 4.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/associativity_of_algebras" "\def\tikzexternalrea
ljob{master}\input{master}"' ========
<use  "tikz/associativity_of_algebras.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/unit_of_algebras" "\def\tikzexternalrealjob{mast
er}\input{master}"' ========
<use  "tikz/unit_of_algebras.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/commutativity_of_algebras" "\def\tikzexternalrea
ljob{master}\input{master}"' ========
<use  "tikz/commutativity_of_algebras.pdf" > [82]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode


LaTeX Warning: Reference `defi: algebras via diagrams' on page 83 undefined on 
input line 78.

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/homomorphism_of_algebras_multiplication" "\def\t
ikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/homomorphism_of_algebras_multiplication.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/homomorphism_of_algebras_unit" "\def\tikzexterna
lrealjob{master}\input{master}"' ========
<use  "tikz/homomorphism_of_algebras_unit.pdf" > [83]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/coassociativity_of_coalgebras" "\def\tikzexterna
lrealjob{master}\input{master}"' ========
<use  "tikz/coassociativity_of_coalgebras.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/counit_of_coalgebras" "\def\tikzexternalrealjob{
master}\input{master}"' ========
<use  "tikz/counit_of_coalgebras.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/cocommutativity_of_coalgebras" "\def\tikzexterna
lrealjob{master}\input{master}"' ========
<use  "tikz/cocommutativity_of_coalgebras.pdf" > [84]This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/homomorphism_of_coalgebras_comultiplication" "\d
ef\tikzexternalrealjob{master}\input{master}"' ========
<use  "tikz/homomorphism_of_coalgebras_comultiplication.pdf" >This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 restricted \write18 enabled.
entering extended mode

===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera
ction=batchmode -jobname "tikz/homomorphism_of_coalgebras_counit" "\def\tikzext
ernalrealjob{master}\input{master}"' ========
<use  "tikz/homomorphism_of_coalgebras_counit.pdf" >) (./appendix/Schur.tex
[85]
Appendix B.

LaTeX Warning: Reference `lem: algebraic elements over algebraically closed fie
lds' on page 86 undefined on input line 41.

[86]

LaTeX Warning: Reference `cor: classic Schur' on page 87 undefined on input lin
e 54.


LaTeX Warning: Reference `lem: algebraic elements over algebraically closed fie
lds' on page 87 undefined on input line 73.


LaTeX Warning: Reference `lem: algebraic endomorphisms over algebraically close
d fields' on page 87 undefined on input line 81.


LaTeX Warning: Reference `lem: Schur general part about skew field' on page 87 
undefined on input line 81.


LaTeX Warning: Citation 'Dixmier' on page 87 undefined on input line 85.


LaTeX Warning: Reference `lem: Schur general part about skew field' on page 87 
undefined on input line 96.

[87]

LaTeX Warning: Reference `cor: Schur generally needs only algebraic endomorphis
ms' on page 88 undefined on input line 120.


LaTeX Warning: Reference `prop: Dixmier' on page 88 undefined on input line 120
.


LaTeX Warning: Reference `cor: Dixmier algebraically closed' on page 88 undefin
ed on input line 128.


LaTeX Warning: Reference `cor: Dixmier algebraically closed' on page 88 undefin
ed on input line 138.


LaTeX Warning: Citation 'Quillen' on page 88 undefined on input line 148.


LaTeX Warning: Reference `prop: Quillen' on page 88 undefined on input line 164
.


LaTeX Warning: Reference `cor: Schur generally needs only algebraic endomorphis
ms' on page 88 undefined on input line 164.

[88])) [89]

LaTeX Warning: Empty bibliography on input line 31.


Package lastpage Warning: Rerun to get the references right on input line 34.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.aux) (./root_systems.aux) (./appendix.aux))

LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.


Package biblatex Warning: Please (re)run Biber on the file:
(biblatex)                master
(biblatex)                and rerun LaTeX afterwards.

 )
(see the transcript file for additional information)
Output written on master.pdf (93 pages).
SyncTeX written on master.synctex.gz.
Transcript written on master.log.
./build.sh: 4: ./build.sh: biber: not found
This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 \write18 enabled.
entering extended mode
(./master.tex
LaTeX2e <2014/05/01>
Babel <3.9l> and hyphenation patterns for 79 languages loaded.
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbook.cls
Document Class: scrbook 2013/12/19 v3.12 KOMA-Script document class (book)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrkbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlfile.sty
Package scrlfile, 2013/12/19 v3.12 KOMA-Script package (loading files)
                  Copyright (C) Markus Kohm

))) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/tocbasic.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrsize10pt.clo)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/typearea.sty
Package typearea, 2013/12/19 v3.12 KOMA-Script package (type area)
                  Copyright (C) Frank Neukam, 1992-1994
                  Copyright (C) Markus Kohm, 1994-

)) (./mystyle.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty)
(/usr/share/texlive/texmf-dist/tex/latex/appendix/appendix.sty)
(/usr/share/texlive/texmf-dist/tex/latex/arydshln/arydshln.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.sty
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex2.sty
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty
(/usr/share/texlive/texmf-dist/tex/latex/etex-pkg/etex.sty))
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/etexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifluatex.sty))))
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.sty
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-dm.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-compat.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/alphabetic.bbx
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/standard.bbx))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/cbx/alphabetic.cbx)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty)
(/usr/share/texlive/texmf-dist/tex/latex/extarrows/extarrows.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty))
(/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg))

Package hyperref Message: Driver (autodetected): hxetex.

(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hxetex.def
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty))
(/usr/share/texlive/texmf-dist/tex/latex/lastpage/lastpage.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xltxtra/xltxtra.sty
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3-code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3unicode-data.def)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3xdvipdfmx.def))
(/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-patches.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-xetex.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmr.fd))
(/usr/share/texlive/texmf-dist/tex/xelatex/xunicode/xunicode.sty
(/usr/share/texmf/tex/latex/tipa/t3enc.def
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmss.fd))
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/xelatex/xetex-def/xetex.def))))
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/realscripts/realscripts.sty)
(/usr/share/texlive/texmf-dist/tex/latex/metalogo/metalogo.sty))
(/usr/share/texlive/texmf-dist/tex/latex/ellipsis/ellipsis.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/xspace.sty))
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer-scrpage.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer.sty))
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
(/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.de
f))))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.
tex)) (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.
code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformation
s.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.t
ex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.
tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.
tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65
.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18
.sty)) (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarytopaths.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarypositioning.code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/libraries/tikzlibrar
yexternal.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zexternalshared.code.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/lbx/english.lbx)
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.aux) (./root_systems.aux) (./appendix.aux))
(/usr/share/texmf/tex/latex/tipa/t3cmr.fd)
No file master.bbl.
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty))
(./master.out) (./master.out) ABD: EveryShipout initializing macros
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/se-ascii-print.def)
[1] (./preface.tex

LaTeX Warning: Citation 'Humphreys' on page 2 undefined on input line 3.

) [2] (./master.toc (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd)
[3]) [4] (./basics.tex
Chapter 1.
(./basics/basic_definitions.tex [1] [2] [3] [4] [5]
! Package tikz Warning: The key 'up to date check=md5' is impossible, there is 
no macro to compute MD5. Falling back to 'up to date check=diff'.
===== Image 'tikz/universal_property_of_quotient_of_lie_algebras' is up-to-date
. ======
<use  "tikz/universal_property_of_quotient_of_lie_algebras.pdf" > [6]
===== Image 'tikz/universal_property_of_abelization' is up-to-date. ======
<use  "tikz/universal_property_of_abelization.pdf" > [7] [8] [9] [10])
(./basics/representations.tex [11] [12] [13] [14] [15] [16] [17] [18]))
[19] (./slightly_advanced_basics.tex
Chapter 2.
(./slightly_advanced_basics/nilpotent_and_solvable_Lie_algebras.tex [20]
[21] [22] [23] [24] [25] [26]

LaTeX Warning: Citation 'Humphreys' on page 27 undefined on input line 373.

[27] [28]) (./slightly_advanced_basics/Killing_form_and_Cartans_criterion.tex
[29] [30] [31] [32] [33] [34] [35] [36]

LaTeX Warning: Citation 'Humphreys' on page 37 undefined on input line 481.

[37]) (./slightly_advanced_basics/universal_enveloping_algebra.tex
===== Image 'tikz/universal_property_of_universal_enveloping_algebra' is up-to-
date. ======
<use  "tikz/universal_property_of_universal_enveloping_algebra.pdf" >
===== Image 'tikz/uniqueness_of_universal_enveloping_algebra' is up-to-date. ==
====
<use  "tikz/uniqueness_of_universal_enveloping_algebra.pdf" > [38]
===== Image 'tikz/functoriality_of_the_universal_enveloping_algebra' is up-to-d
ate. ======
<use  "tikz/functoriality_of_the_universal_enveloping_algebra.pdf" > [39]
[40] [41] [42] [43] [44] [45]

LaTeX Warning: Citation 'Humphreys' on page 46 undefined on input line 519.

[46] [47] [48]
===== Image 'tikz/universal_property_of_the_free_Lie_algebra' is up-to-date. ==
====
<use  "tikz/universal_property_of_the_free_Lie_algebra.pdf" >
===== Image 'tikz/uniqueness_of_the_free_Lie_algebra' is up-to-date. ======
<use  "tikz/uniqueness_of_the_free_Lie_algebra.pdf" > [49]
===== Image 'tikz/construction_of_free_Lie_algebra' is up-to-date. ======
<use  "tikz/construction_of_free_Lie_algebra.pdf" > [50]
===== Image 'tikz/universal_enveloping_algebra_of_the_free_Lie_algebra' is up-t
o-date. ======
<use  "tikz/universal_enveloping_algebra_of_the_free_Lie_algebra.pdf" >
[51] [52])) [53] (./semisimple_Lie_algebras.tex
Chapter 3.
(./semisimple_Lie_algebras/definition_of_semisimple_Lie_algebras.tex [54]
[55]) (./semisimple_Lie_algebras/weyls_theorem.tex [56] [57]
===== Image 'tikz/proof_of_weyls_theorem' is up-to-date. ======
<use  "tikz/proof_of_weyls_theorem.pdf" > [58])
(./semisimple_Lie_algebras/sl2_theory.tex [59]
===== Image 'tikz/irreducible_representation_of_sl2' is up-to-date. ======
<use  "tikz/irreducible_representation_of_sl2.pdf" > [60] [61]
===== Image 'tikz/irreducible_representation_of_sl2_construction' is up-to-date
. ======
<use  "tikz/irreducible_representation_of_sl2_construction.pdf" > [62] [63]
[64] [65]

LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 66 undefined on input
 line 547.

[66] [67]

LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 68 undefined on input
 line 600.

) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Citation 'Humphreys' on page 68 undefined on input line 2.

[68] [69] [70] [71]) (./semisimple_Lie_algebras/cartan_subalgebras.tex [72]
[73] [74]

LaTeX Warning: Citation 'Humphreys' on page 75 undefined on input line 174.

[75] [76] [77])) [78] (./root_systems.tex
Chapter 4.
(./root_systems/abstract_root_systems.tex
===== Image 'tikz/natural_pairing_compatible_with_natural_homomorphism' is up-t
o-date. ======
<use  "tikz/natural_pairing_compatible_with_natural_homomorphism.pdf" >
[79])) [80] [81] (./appendix.tex (./appendix/Hopf_algebras.tex
Appendix A.

LaTeX Warning: Citation 'Brown' on page 82 undefined on input line 4.

===== Image 'tikz/associativity_of_algebras' is up-to-date. ======
<use  "tikz/associativity_of_algebras.pdf" >
===== Image 'tikz/unit_of_algebras' is up-to-date. ======
<use  "tikz/unit_of_algebras.pdf" >
===== Image 'tikz/commutativity_of_algebras' is up-to-date. ======
<use  "tikz/commutativity_of_algebras.pdf" > [82]
===== Image 'tikz/homomorphism_of_algebras_multiplication' is up-to-date. =====
=
<use  "tikz/homomorphism_of_algebras_multiplication.pdf" >
===== Image 'tikz/homomorphism_of_algebras_unit' is up-to-date. ======
<use  "tikz/homomorphism_of_algebras_unit.pdf" > [83]
===== Image 'tikz/coassociativity_of_coalgebras' is up-to-date. ======
<use  "tikz/coassociativity_of_coalgebras.pdf" >
===== Image 'tikz/counit_of_coalgebras' is up-to-date. ======
<use  "tikz/counit_of_coalgebras.pdf" >
===== Image 'tikz/cocommutativity_of_coalgebras' is up-to-date. ======
<use  "tikz/cocommutativity_of_coalgebras.pdf" > [84]
===== Image 'tikz/homomorphism_of_coalgebras_comultiplication' is up-to-date. =
=====
<use  "tikz/homomorphism_of_coalgebras_comultiplication.pdf" >
===== Image 'tikz/homomorphism_of_coalgebras_counit' is up-to-date. ======
<use  "tikz/homomorphism_of_coalgebras_counit.pdf" >) (./appendix/Schur.tex
[85]
Appendix B.
[86]

LaTeX Warning: Citation 'Dixmier' on page 87 undefined on input line 85.

[87]

LaTeX Warning: Citation 'Quillen' on page 88 undefined on input line 148.

[88])) [89]

LaTeX Warning: Empty bibliography on input line 31.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.aux) (./root_systems.aux) (./appendix.aux))

LaTeX Warning: There were undefined references.


Package biblatex Warning: Please (re)run Biber on the file:
(biblatex)                master
(biblatex)                and rerun LaTeX afterwards.

 )
(see the transcript file for additional information)
Output written on master.pdf (93 pages).
SyncTeX written on master.synctex.gz.
Transcript written on master.log.
This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/dev/Debian) (preloaded format=xelatex)
 \write18 enabled.
entering extended mode
(./master.tex
LaTeX2e <2014/05/01>
Babel <3.9l> and hyphenation patterns for 79 languages loaded.
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbook.cls
Document Class: scrbook 2013/12/19 v3.12 KOMA-Script document class (book)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrkbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbase.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlfile.sty
Package scrlfile, 2013/12/19 v3.12 KOMA-Script package (loading files)
                  Copyright (C) Markus Kohm

))) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/tocbasic.sty)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrsize10pt.clo)
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/typearea.sty
Package typearea, 2013/12/19 v3.12 KOMA-Script package (type area)
                  Copyright (C) Frank Neukam, 1992-1994
                  Copyright (C) Markus Kohm, 1994-

)) (./mystyle.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty)
(/usr/share/texlive/texmf-dist/tex/latex/appendix/appendix.sty)
(/usr/share/texlive/texmf-dist/tex/latex/arydshln/arydshln.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.sty
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex2.sty
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty
(/usr/share/texlive/texmf-dist/tex/latex/etex-pkg/etex.sty))
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/etexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifluatex.sty))))
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.sty
(/usr/share/texlive/texmf-dist/tex/latex/logreq/logreq.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-dm.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/blx-compat.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.def)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/alphabetic.bbx
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/bbx/standard.bbx))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/cbx/alphabetic.cbx)
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/biblatex.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty)
(/usr/share/texlive/texmf-dist/tex/latex/extarrows/extarrows.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty))
(/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg))

Package hyperref Message: Driver (autodetected): hxetex.

(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hxetex.def
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty))
(/usr/share/texlive/texmf-dist/tex/latex/lastpage/lastpage.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xltxtra/xltxtra.sty
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3-code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3unicode-data.def)
(/usr/share/texlive/texmf-dist/tex/latex/l3kernel/l3xdvipdfmx.def))
(/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-patches.sty)
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec-xetex.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1enc.def)
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmr.fd))
(/usr/share/texlive/texmf-dist/tex/xelatex/xunicode/xunicode.sty
(/usr/share/texmf/tex/latex/tipa/t3enc.def
(/usr/share/texlive/texmf-dist/tex/latex/euenc/eu1lmss.fd))
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/xelatex/xetex-def/xetex.def))))
(/usr/share/texlive/texmf-dist/tex/latex/fontspec/fontspec.cfg)))
(/usr/share/texlive/texmf-dist/tex/latex/realscripts/realscripts.sty)
(/usr/share/texlive/texmf-dist/tex/latex/metalogo/metalogo.sty))
(/usr/share/texlive/texmf-dist/tex/latex/ellipsis/ellipsis.sty
(/usr/share/texlive/texmf-dist/tex/latex/tools/xspace.sty))
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer-scrpage.sty
(/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlayer.sty))
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
(/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t
ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.de
f))))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.
tex)) (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.
code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformation
s.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.t
ex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.
tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.te
x)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.c
ode.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.
tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65
.sty)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18
.sty)) (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex

(/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarytopaths.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zlibrarypositioning.code.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/libraries/tikzlibrar
yexternal.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik
zexternalshared.code.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/biblatex/lbx/english.lbx)
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.aux) (./root_systems.aux) (./appendix.aux))
(/usr/share/texmf/tex/latex/tipa/t3cmr.fd)
No file master.bbl.
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty))
(./master.out) (./master.out) ABD: EveryShipout initializing macros
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd)
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/se-ascii-print.def)
[1] (./preface.tex

LaTeX Warning: Citation 'Humphreys' on page 2 undefined on input line 3.

) [2] (./master.toc (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd)
[3]) [4] (./basics.tex
Chapter 1.
(./basics/basic_definitions.tex [1] [2] [3] [4] [5]
! Package tikz Warning: The key 'up to date check=md5' is impossible, there is 
no macro to compute MD5. Falling back to 'up to date check=diff'.
===== Image 'tikz/universal_property_of_quotient_of_lie_algebras' is up-to-date
. ======
<use  "tikz/universal_property_of_quotient_of_lie_algebras.pdf" > [6]
===== Image 'tikz/universal_property_of_abelization' is up-to-date. ======
<use  "tikz/universal_property_of_abelization.pdf" > [7] [8] [9] [10])
(./basics/representations.tex [11] [12] [13] [14] [15] [16] [17] [18]))
[19] (./slightly_advanced_basics.tex
Chapter 2.
(./slightly_advanced_basics/nilpotent_and_solvable_Lie_algebras.tex [20]
[21] [22] [23] [24] [25] [26]

LaTeX Warning: Citation 'Humphreys' on page 27 undefined on input line 373.

[27] [28]) (./slightly_advanced_basics/Killing_form_and_Cartans_criterion.tex
[29] [30] [31] [32] [33] [34] [35] [36]

LaTeX Warning: Citation 'Humphreys' on page 37 undefined on input line 481.

[37]) (./slightly_advanced_basics/universal_enveloping_algebra.tex
===== Image 'tikz/universal_property_of_universal_enveloping_algebra' is up-to-
date. ======
<use  "tikz/universal_property_of_universal_enveloping_algebra.pdf" >
===== Image 'tikz/uniqueness_of_universal_enveloping_algebra' is up-to-date. ==
====
<use  "tikz/uniqueness_of_universal_enveloping_algebra.pdf" > [38]
===== Image 'tikz/functoriality_of_the_universal_enveloping_algebra' is up-to-d
ate. ======
<use  "tikz/functoriality_of_the_universal_enveloping_algebra.pdf" > [39]
[40] [41] [42] [43] [44] [45]

LaTeX Warning: Citation 'Humphreys' on page 46 undefined on input line 519.

[46] [47] [48]
===== Image 'tikz/universal_property_of_the_free_Lie_algebra' is up-to-date. ==
====
<use  "tikz/universal_property_of_the_free_Lie_algebra.pdf" >
===== Image 'tikz/uniqueness_of_the_free_Lie_algebra' is up-to-date. ======
<use  "tikz/uniqueness_of_the_free_Lie_algebra.pdf" > [49]
===== Image 'tikz/construction_of_free_Lie_algebra' is up-to-date. ======
<use  "tikz/construction_of_free_Lie_algebra.pdf" > [50]
===== Image 'tikz/universal_enveloping_algebra_of_the_free_Lie_algebra' is up-t
o-date. ======
<use  "tikz/universal_enveloping_algebra_of_the_free_Lie_algebra.pdf" >
[51] [52])) [53] (./semisimple_Lie_algebras.tex
Chapter 3.
(./semisimple_Lie_algebras/definition_of_semisimple_Lie_algebras.tex [54]
[55]) (./semisimple_Lie_algebras/weyls_theorem.tex [56] [57]
===== Image 'tikz/proof_of_weyls_theorem' is up-to-date. ======
<use  "tikz/proof_of_weyls_theorem.pdf" > [58])
(./semisimple_Lie_algebras/sl2_theory.tex [59]
===== Image 'tikz/irreducible_representation_of_sl2' is up-to-date. ======
<use  "tikz/irreducible_representation_of_sl2.pdf" > [60] [61]
===== Image 'tikz/irreducible_representation_of_sl2_construction' is up-to-date
. ======
<use  "tikz/irreducible_representation_of_sl2_construction.pdf" > [62] [63]
[64] [65]

LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 66 undefined on input
 line 547.

[66] [67]

LaTeX Warning: Citation 'Lectures_on_sl2_modules' on page 68 undefined on input
 line 600.

) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Citation 'Humphreys' on page 68 undefined on input line 2.

[68] [69] [70] [71]) (./semisimple_Lie_algebras/cartan_subalgebras.tex [72]
[73] [74]

LaTeX Warning: Citation 'Humphreys' on page 75 undefined on input line 174.

[75] [76] [77])) [78] (./root_systems.tex
Chapter 4.
(./root_systems/abstract_root_systems.tex
===== Image 'tikz/natural_pairing_compatible_with_natural_homomorphism' is up-t
o-date. ======
<use  "tikz/natural_pairing_compatible_with_natural_homomorphism.pdf" >
[79])) [80] [81] (./appendix.tex (./appendix/Hopf_algebras.tex
Appendix A.

LaTeX Warning: Citation 'Brown' on page 82 undefined on input line 4.

===== Image 'tikz/associativity_of_algebras' is up-to-date. ======
<use  "tikz/associativity_of_algebras.pdf" >
===== Image 'tikz/unit_of_algebras' is up-to-date. ======
<use  "tikz/unit_of_algebras.pdf" >
===== Image 'tikz/commutativity_of_algebras' is up-to-date. ======
<use  "tikz/commutativity_of_algebras.pdf" > [82]
===== Image 'tikz/homomorphism_of_algebras_multiplication' is up-to-date. =====
=
<use  "tikz/homomorphism_of_algebras_multiplication.pdf" >
===== Image 'tikz/homomorphism_of_algebras_unit' is up-to-date. ======
<use  "tikz/homomorphism_of_algebras_unit.pdf" > [83]
===== Image 'tikz/coassociativity_of_coalgebras' is up-to-date. ======
<use  "tikz/coassociativity_of_coalgebras.pdf" >
===== Image 'tikz/counit_of_coalgebras' is up-to-date. ======
<use  "tikz/counit_of_coalgebras.pdf" >
===== Image 'tikz/cocommutativity_of_coalgebras' is up-to-date. ======
<use  "tikz/cocommutativity_of_coalgebras.pdf" > [84]
===== Image 'tikz/homomorphism_of_coalgebras_comultiplication' is up-to-date. =
=====
<use  "tikz/homomorphism_of_coalgebras_comultiplication.pdf" >
===== Image 'tikz/homomorphism_of_coalgebras_counit' is up-to-date. ======
<use  "tikz/homomorphism_of_coalgebras_counit.pdf" >) (./appendix/Schur.tex
[85]
Appendix B.
[86]

LaTeX Warning: Citation 'Dixmier' on page 87 undefined on input line 85.

[87]

LaTeX Warning: Citation 'Quillen' on page 88 undefined on input line 148.

[88])) [89]

LaTeX Warning: Empty bibliography on input line 31.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.aux) (./root_systems.aux) (./appendix.aux))

LaTeX Warning: There were undefined references.


Package biblatex Warning: Please (re)run Biber on the file:
(biblatex)                master
(biblatex)                and rerun LaTeX afterwards.

 )
(see the transcript file for additional information)
Output written on master.pdf (93 pages).
SyncTeX written on master.synctex.gz.
Transcript written on master.log.