Edit / JSON / View on GitHub

Built bb05231 successfully in 3m39s

Parts of the first chapter declared independence and now form their own chapter.

This has the effect of the first chapter not being much longer than the other ones.

by: Jendrik Stelzner | on Aug 14th | 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/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" >

LaTeX Warning: Reference `expls: representations of Lie algebras' on page 60 un
defined on input line 133.

[60]

LaTeX Warning: Reference `lem: e and f moving the eigenspaces' on page 61 undef
ined on input line 157.


LaTeX Warning: Reference `lem: e and f moving the eigenspaces' on page 61 undef
ined on input line 159.

[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 249.

[62]

LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 63 und
efined on input line 338.


LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 63 und
efined on input line 350.


LaTeX Warning: Reference `eqn: dimensions of eigenspaces of sl3' on page 63 und
efined on input line 357.

[63]

LaTeX Warning: Reference `eqn: eigenspace of a finite dimensional representatio
n' on page 64 undefined on input line 408.

[64]

LaTeX Warning: Reference `eqn: decomposition of 4 tensor 5' on page 65 undefine
d on input line 465.


LaTeX Warning: Reference `thrm: finite dimensional representations of sl2' on p
age 65 undefined on input line 465.


LaTeX Warning: Reference `expl: decomposition of the tensor product of 4 and 5'
 on page 65 undefined on input line 470.

) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 65 undef
ined on input line 2.


LaTeX Warning: Citation 'Humphreys' on page 65 undefined on input line 2.

[65]

LaTeX Warning: Reference `lem: ss and nilpotent implies ad-ss and ad-nilpotent'
 on page 66 undefined on input line 11.


LaTeX Warning: Reference `cor: representation of semisimple Lie algebra are tra
celess' on page 66 undefined on input line 19.


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

[66]

LaTeX Warning: Reference `lem: generalized eigenspace decomposition for derivat
ions' on page 67 undefined on input line 77.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 67 undef
ined on input line 85.

[67]

LaTeX Warning: Reference `lem: orthogonal complement of an ideal is again an id
eal' on page 68 undefined on input line 108.


LaTeX Warning: Reference `lem: inner derivations are in ideal' on page 68 undef
ined on input line 116.


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


LaTeX Warning: Reference `lem: every derivation of a semisimple Lie algebra is 
inner' on page 68 undefined on input line 130.


LaTeX Warning: Reference `lem: derivations contain the ss and np part of all it
s elements' on page 68 undefined on input line 130.


LaTeX Warning: Reference `thrm: concrete Jordan decomposition' on page 68 undef
ined on input line 130.


LaTeX Warning: Reference `thrm: abstract Jordan decomposition' on page 68 undef
ined on input line 135.


LaTeX Warning: Reference `defi: definition of abstract ss and np' on page 68 un
defined on input line 140.

[68]

LaTeX Warning: Reference `lem: semisimple linear Lie algebra containing the sem
isimple and nilpotent parts of its elements' on page 69 undefined on input line
 148.


LaTeX Warning: Reference `lem: ss and nilpotent implies ad-ss and ad-nilpotent'
 on page 69 undefined on input line 148.


LaTeX Warning: Reference `prop: abstract and concrete Jordan decomposition coin
cide' on page 69 undefined on input line 153.


LaTeX Warning: Reference `lem: functoriality of the Jordan decomposition for li
near Lie algebras' on page 69 undefined on input line 172.

) (./semisimple_Lie_algebras/cartan_subalgebras.tex [69] [70]

LaTeX Warning: Reference `cor: restriction of killing form to centralizer is no
n-degenerate' on page 71 undefined on input line 152.


LaTeX Warning: Reference `cor: ideal in nilpotent has nontrivial intersection w
ith center' on page 71 undefined on input line 154.

[71]

LaTeX Warning: Reference `lem: root spaces orthogonal with respect to the Killi
ng form' on page 72 undefined on input line 169.


LaTeX Warning: Reference `prop: CSA are self-centralizing' on page 72 undefined
 on input line 174.


LaTeX Warning: Citation 'Humphreys' on page 72 undefined on input line 174.

[72]

LaTeX Warning: Reference `cor: g alpha and g -alpha pair non degenerate with th
e Killing form' on page 73 undefined on input line 222.


LaTeX Warning: Reference `cor: g alpha and g -alpha pair non degenerate with th
e Killing form' on page 73 undefined on input line 237.

[73]

LaTeX Warning: Reference `rem: construction of S alpha' on page 74 undefined on
 input line 277.


LaTeX Warning: Reference `rem: construction of S alpha' on page 74 undefined on
 input line 291.

[74]

LaTeX Warning: Reference `rem: construction of S alpha' on page 75 undefined on
 input line 330.


LaTeX Warning: Reference `rem: construction of S alpha' on page 75 undefined on
 input line 358.


LaTeX Warning: Reference `prop: integral and reflection properties of root pair
ing' on page 75 undefined on input line 360.

)) [75] [76] (./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 77 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" > [77]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 78 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" > [78]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" > [79]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
[80]
Appendix B.

LaTeX Warning: Reference `lem: algebraic elements over algebraically closed fie
lds' on page 81 undefined on input line 41.

[81]

LaTeX Warning: Reference `cor: classic Schur' on page 82 undefined on input lin
e 54.


LaTeX Warning: Reference `lem: algebraic elements over algebraically closed fie
lds' on page 82 undefined on input line 73.


LaTeX Warning: Reference `lem: algebraic endomorphisms over algebraically close
d fields' on page 82 undefined on input line 81.


LaTeX Warning: Reference `lem: Schur general part about skew field' on page 82 
undefined on input line 81.


LaTeX Warning: Citation 'Dixmier' on page 82 undefined on input line 85.


LaTeX Warning: Reference `lem: Schur general part about skew field' on page 82 
undefined on input line 96.

[82]

LaTeX Warning: Reference `cor: Schur generally needs only algebraic endomorphis
ms' on page 83 undefined on input line 120.


LaTeX Warning: Reference `prop: Dixmier' on page 83 undefined on input line 120
.


LaTeX Warning: Reference `cor: Dixmier algebraically closed' on page 83 undefin
ed on input line 128.


LaTeX Warning: Reference `cor: Dixmier algebraically closed' on page 83 undefin
ed on input line 138.


LaTeX Warning: Citation 'Quillen' on page 83 undefined on input line 148.


LaTeX Warning: Reference `prop: Quillen' on page 83 undefined on input line 164
.


LaTeX Warning: Reference `cor: Schur generally needs only algebraic endomorphis
ms' on page 83 undefined on input line 164.

[83])) [84]

LaTeX Warning: Empty bibliography on input line 30.


Package lastpage Warning: Rerun to get the references right on input line 33.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.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 (88 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/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) (./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]) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Citation 'Humphreys' on page 66 undefined on input line 2.

[66] [67] [68] [69]) (./semisimple_Lie_algebras/cartan_subalgebras.tex [70]
[71]

LaTeX Warning: Citation 'Humphreys' on page 72 undefined on input line 174.

[72] [73] [74])) [75] [76] (./appendix.tex (./appendix/Hopf_algebras.tex
Appendix A.

LaTeX Warning: Citation 'Brown' on page 77 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" > [77]
===== 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" > [78]
===== 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" > [79]
===== 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
[80]
Appendix B.
[81]

LaTeX Warning: Citation 'Dixmier' on page 82 undefined on input line 85.

[82]

LaTeX Warning: Citation 'Quillen' on page 83 undefined on input line 148.

[83])) [84]

LaTeX Warning: Empty bibliography on input line 30.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.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 (88 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/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) (./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]) (./semisimple_Lie_algebras/abstract_Jordan_decomposition.tex

LaTeX Warning: Citation 'Humphreys' on page 66 undefined on input line 2.

[66] [67] [68] [69]) (./semisimple_Lie_algebras/cartan_subalgebras.tex [70]
[71]

LaTeX Warning: Citation 'Humphreys' on page 72 undefined on input line 174.

[72] [73] [74])) [75] [76] (./appendix.tex (./appendix/Hopf_algebras.tex
Appendix A.

LaTeX Warning: Citation 'Brown' on page 77 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" > [77]
===== 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" > [78]
===== 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" > [79]
===== 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
[80]
Appendix B.
[81]

LaTeX Warning: Citation 'Dixmier' on page 82 undefined on input line 85.

[82]

LaTeX Warning: Citation 'Quillen' on page 83 undefined on input line 148.

[83])) [84]

LaTeX Warning: Empty bibliography on input line 30.


AED: lastpage setting LastPage
(./master.aux (./preface.aux) (./basics.aux) (./slightly_advanced_basics.aux)
(./semisimple_Lie_algebras.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 (88 pages).
SyncTeX written on master.synctex.gz.
Transcript written on master.log.