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[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 `fig: isomorphism of P_2n+1 and P_2n' on page 49 undef ined on input line 1040. ===== 'mode=convert with system call': Invoking 'xelatex -halt-on-error -intera ction=batchmode -jobname "tikz/isomorphism_P2n+1_to_P2n" "\def\tikzexternalreal job{master}\input{master}"' ======== <use "tikz/isomorphism_P2n+1_to_P2n.pdf" > [49] LaTeX Warning: Reference `lem: P_2n consists of antiorthognal matrices' on page 50 undefined on input line 1181. LaTeX Warning: Reference `lem: P_2n consists of antiorthognal matrices' on page 50 undefined on input line 1183. LaTeX Warning: Reference `lem: P_n consists of antiorthognal matrices' on page 50 undefined on input line 1205. LaTeX Warning: Reference `prop: normalizer in S_2n vie permutations and signs' on page 50 undefined on input line 1205. 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[53] LaTeX Warning: Reference `kor: important isomorphisms' on page 54 undefined on input line 1470. LaTeX Warning: Reference `lem: P_n consists of antiorthognal matrices' on page 54 undefined on input line 1470. LaTeX Warning: Reference `kor: important isomorphisms' on page 54 undefined on input line 1480. LaTeX Warning: Reference `prop: parametrisation of semisimple O_2n+1 orbits in so_2n+1' on page 54 undefined on input line 1480. LaTeX Warning: Reference `prop: parametrisation of semisimple O_2n+1 orbits in so_2n+1' on page 54 undefined on input line 1489. LaTeX Warning: Reference `lem: definition of isomorphisms for so_n' on page 54 undefined on input line 1495. LaTeX Warning: Reference `lem: bijection of semisimple orbits for so_n' on page 54 undefined on input line 1501. LaTeX Warning: Reference `prop: parametrisation of semisimple O_2n+1 orbits in so_2n+1' on page 54 undefined on input line 1501. 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LaTeX Warning: Citation `CollingwoodMcGovern' on page 57 undefined on input lin e 2. LaTeX Warning: Reference `lem: compatibility of reductile Lie algebras and homo morphisms' on page 57 undefined on input line 58. [57] LaTeX Warning: Reference `defi: nilpotent orbits' on page 58 undefined on input line 98. [58] LaTeX Warning: Reference `lem: sl2 tripel to nilpotent' on page 59 undefined on input line 139. [59] LaTeX Warning: Reference `lem: nilpotent element orthogonal to its centralizer' on page 60 undefined on input line 199. LaTeX Warning: Reference `lem: orthogonal complement is commutator subspace' on page 60 undefined on input line 199. LaTeX Warning: Reference `lem: orthogonal complement is commutator subspace' on page 60 undefined on input line 205. LaTeX Warning: Reference `lem: orthogonal complement is commutator subspace' on page 60 undefined on input line 216. 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[64] LaTeX Warning: Reference `kor: sl2 tripel detemined by two elements' on page 65 undefined on input line 430. LaTeX Warning: Reference `bem: nilpotent orbits in reductive Lie algebras' on p age 65 undefined on input line 445. LaTeX Warning: Reference `lem: sl2 tripel to nilpotent' on page 65 undefined on input line 449. LaTeX Warning: Reference `thrm: Jacobson-Morozov' on page 65 undefined on input line 449. [65] LaTeX Warning: Reference `thrm: Kostant' on page 66 undefined on input line 457 . LaTeX Warning: Reference `chap: preliminaries' on page 66 undefined on input li ne 486. [66] LaTeX Warning: Reference `lem: correspondence sl2 tripel and homomorphisms' on page 67 undefined on input line 528. LaTeX Warning: Reference `kor: classification of nilpotent orbits' on page 67 u ndefined on input line 533. [67] LaTeX Warning: Reference `lem: giving a fd vector space the structure of an sl2 module' on page 68 undefined on input line 609. [68] LaTeX Warning: Reference `bem: sl2 tripel detemined by two elements in reductiv e' on page 69 undefined on input line 638. LaTeX Warning: Citation `CollingwoodMcGovern' on page 69 undefined on input lin e 641. LaTeX Warning: Reference `kor: sl2 theory' on page 69 undefined on input line 6 57. LaTeX Warning: Reference `kor: sl2 theory' on page 69 undefined on input line 6 57. [69] LaTeX Warning: Reference `eqn: decomposition of kn into irreducible submodules' on page 70 undefined on input line 701. [70]) [71] No file master.bbl. (./master.aux (./introduction.aux) (./chapter1.aux) (./chapter2.aux) (./chapter3.aux) (./chapter4.aux)) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) Output written on master.pdf (77 pages). Transcript written on master.log. Latexmk: References changed. Latexmk: Non-existent bbl file 'master.bbl' No file master.bbl. Latexmk: References changed. 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element abstract' on page 33 undefined on input line 545 Reference `prop: centralizer of a semisimple element abstract' on page 60 undefined on input line 218 Reference `prop: classification of irreducible sl2-modules' on page 10 undefined on input line 563 Reference `prop: concrete Jordan decomposition' on page 7 undefined on input line 346 Reference `prop: concrete Jordan decomposition' on page 7 undefined on input line 351 Reference `prop: decomposition of centralizer of a nilpotent element' on page 63 undefined on input line 358 Reference `prop: decomposition of centralizer of a nilpotent element' on page 63 undefined on input line 362 Reference `prop: decomposition of centralizer of a nilpotent element' on page 64 undefined on input line 372 Reference `prop: decomposition of centralizer of a nilpotent element' on page 64 undefined on input line 381 Reference `prop: identification of quotient with permutations matrices' on page 43 undefined on input line 519 Reference `prop: 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line 181 Reference `subsec: lie algebra of a bilinear form' on page 40 undefined on input line 331 Reference `thrm: Jacobson-Morozov' on page 65 undefined on input line 449 Reference `thrm: Kostant' on page 66 undefined on input line 457 Reference `thrm: classification of semisimple orbits' on page 24 undefined on input line 4 Reference `thrm: classification of semisimple orbits' on page 24 undefined on input line 6 Reference `thrm: classification of semisimple orbits' on page 35 undefined on input line 6 Reference `thrm: classification of semisimple orbits' on page 35 undefined on input line 9 Reference `thrm: classification of semisimple orbits' on page 37 undefined on input line 107 Reference `thrm: classification of semisimple orbits' on page 43 undefined on input line 519 Reference `thrm: classification semisimple orbits gl_n' on page 24 undefined on input line 6 Reference `thrm: classification semisimple orbits gl_n' on page 27 undefined on input line 215 Reference `thrm: 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[57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70]) [71] (./master.bbl) [72] (./master.aux (./introduction.aux) (./chapter1.aux) (./chapter2.aux) (./chapter3.aux) (./chapter4.aux)) ) Output written on master.pdf (78 pages). Transcript written on master.log. Latexmk: Found input bbl file 'master.bbl' Latexmk: Log file says output to 'master.pdf' Latexmk: Found bibliography file(s) [references.bib] Latexmk: All targets (master.pdf) are up-to-date
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