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bundles|hyperpage}{177} +\indexentry{vertical subspace|hyperpage}{180} +\indexentry{horizontal subspace|hyperpage}{181} +\indexentry{connection|hyperpage}{181} +\indexentry{connection!local representation|hyperpage}{185} +\indexentry{Maurer-Cartan form|hyperpage}{186} +\indexentry{Christoffel symbol|hyperpage}{187} +\indexentry{gauge map|hyperpage}{189} +\indexentry{horizontal lift|hyperpage}{191} +\indexentry{path-ordered exponential|hyperpage}{194} +\indexentry{parallel transport map|hyperpage}{194} +\indexentry{holonomy group|hyperpage}{195} +\indexentry{exterior covariant derivative|hyperpage}{197} +\indexentry{curvature|hyperpage}{197} +\indexentry{Yang-Mills field strength|hyperpage}{199} +\indexentry{torsion|hyperpage}{200} +\indexentry{covariant derivative|hyperpage}{205} diff --git a/main.ilg b/main.ilg new file mode 100644 index 0000000..8c3288e --- /dev/null +++ b/main.ilg @@ -0,0 +1,7 @@ +This is makeindex, version 2.16 [MiKTeX 24.4]. +Scanning style file ./example_style.ist.......done (7 attributes redefined, 0 ignored). +Scanning input file main.idx....done (253 entries accepted, 0 rejected). +Sorting entries.....done (2215 comparisons). +Generating output file main.ind....done (377 lines written, 0 warnings). +Output written in main.ind. +Transcript written in main.ilg. diff --git a/main.ind b/main.ind new file mode 100644 index 0000000..41cbe77 --- /dev/null +++ b/main.ind @@ -0,0 +1,377 @@ +\begin{theindex} + +\centering\large\noindent\textbf{Symbols}\par\nopagebreak + + \item \small $T^p_qV$ \hfill \hyperpage{57} + \item \small $T_pM$ \hfill \hyperpage{69} + \item \small $\Gamma(TM)$ \hfill \hyperpage{87} + \item \small $\N$ \hfill \hyperpage{15}, \hyperpage{21} + \item \small $\Q$ \hfill \hyperpage{23} + \item \small $\R$ \hfill \hyperpage{24} + \item \small $\Z$ \hfill \hyperpage{22} + \item \small $\bigl(\frac{\partial}{\partial x^a}\bigr)_p$ \hfill + \hyperpage{75} + \item \small $\cO_\mathrm{std}$ \hfill \hyperpage{27} + \item \small $\exists$ \hfill \hyperpage{4} + \item \small $\forall$ \hfill \hyperpage{4} + \item \small $\in$ \hfill \hyperpage{8} + \item \small $\mathcal{C}^\infty(M)$ \hfill \hyperpage{69} + \item \small $\pi_1(p)$ \hfill \hyperpage{37} + + \indexspace + +\centering\large\noindent\textbf{A}\par\nopagebreak + + \item \small adjoint map \hfill \hyperpage{120} + \item \small adjoint representation \hfill \hyperpage{149} + \item \small algebra \hfill \hyperpage{71} + \item \small associated bundle \hfill \hyperpage{175} + \item \small atlas \hfill \hyperpage{45} + \subitem compatible \hfill \hyperpage{49} + \item \small automorphism \hfill \hyperpage{57} + \item \small axiom \hfill \hyperpage{5} + \subitem of choice \hfill \hyperpage{15} + \subitem of foundation \hfill \hyperpage{15} + \subitem of infinity \hfill \hyperpage{14} + \subitem of replacement \hfill \hyperpage{12} + \subitem on $\in$ \hfill \hyperpage{8} + \subitem on pair sets \hfill \hyperpage{11} + \subitem on power sets \hfill \hyperpage{14} + \subitem on the empty set \hfill \hyperpage{9} + \subitem on union sets \hfill \hyperpage{12} + + \indexspace + +\centering\large\noindent\textbf{B}\par\nopagebreak + + \item \small bilinear map \hfill \hyperpage{57} + \item \small boundedness \hfill \hyperpage{32} + \item \small bundle \hfill \hyperpage{41} + \subitem (locally) isomorphic \hfill \hyperpage{43} + \subitem (locally) trivial \hfill \hyperpage{44} + \subitem fibre \hfill \hyperpage{42} + \subitem pull-back \hfill \hyperpage{44} + \subitem restricted \hfill \hyperpage{43} + \item \small bundle morphism \hfill \hyperpage{43} + + \indexspace + +\centering\large\noindent\textbf{C}\par\nopagebreak + + \item \small Cartan classification \hfill \hyperpage{128} + \item \small Cartan matrix \hfill \hyperpage{127} + \item \small Cartan subalgebra \hfill \hyperpage{123} + \item \small Cartan's criterion \hfill \hyperpage{121} + \item \small Cartan-Weyl basis \hfill \hyperpage{123} + \item \small Casimir operator \hfill \hyperpage{151} + \item \small Cauchy-Riemann equations \hfill \hyperpage{49} + \item \small chart \hfill \hyperpage{45} + \subitem centred \hfill \hyperpage{74} + \item \small Christoffel symbol \hfill \hyperpage{187} + \item \small closed form \hfill \hyperpage{107} + \item \small closed set \hfill \hyperpage{26} + \item \small co-ordinates \hfill \hyperpage{45}, \hyperpage{77} + \item \small cohomology group \hfill \hyperpage{109} + \item \small commutator \hfill \hyperpage{72} + \item \small compactness \hfill \hyperpage{32} + \item \small component map \hfill \hyperpage{45} + \item \small components \hfill \hyperpage{61}, \hyperpage{76} + \item \small connectedness \hfill \hyperpage{35} + \item \small connection \hfill \hyperpage{181} + \subitem local representation \hfill \hyperpage{185} + \item \small consistency \hfill \hyperpage{6} + \item \small continuity \hfill \hyperpage{30} + \item \small contradiction \hfill \hyperpage{2} + \item \small convergence \hfill \hyperpage{29} + \item \small cotangent space \hfill \hyperpage{79} + \item \small covariant derivative \hfill \hyperpage{205} + \item \small covector \hfill \hyperpage{57} + \item \small cover \hfill \hyperpage{32} + \item \small curvature \hfill \hyperpage{197} + + \indexspace + +\centering\large\noindent\textbf{D}\par\nopagebreak + + \item \small derivation \hfill \hyperpage{72} + \item \small derived subalgebra \hfill \hyperpage{119} + \item \small determinant \hfill \hyperpage{67} + \item \small diffeomorphism \hfill \hyperpage{52} + \item \small differential \hfill \hyperpage{79} + \item \small differential form \hfill \hyperpage{98} + \item \small dimension + \subitem $\dim T_pM = \dim M$ \hfill \hyperpage{74} + \subitem manifold \hfill \hyperpage{40} + \subitem representation \hfill \hyperpage{146} + \subitem vector space \hfill \hyperpage{60} + \item \small directional derivative operator \hfill \hyperpage{69} + \item \small domain \hfill \hyperpage{16} + \item \small dual space \hfill \hyperpage{57} + \item \small Dynkin diagram \hfill \hyperpage{128} + + \indexspace + +\centering\large\noindent\textbf{E}\par\nopagebreak + + \item \small embedding \hfill \hyperpage{84} + \item \small empty set \hfill \hyperpage{9} + \item \small endomorphism \hfill \hyperpage{56} + \item \small equivalence relation \hfill \hyperpage{19} + \item \small exact form \hfill \hyperpage{107} + \item \small existential quantifier \hfill \hyperpage{4} + \item \small exponential map \hfill \hyperpage{159} + \item \small exterior covariant derivative \hfill \hyperpage{197} + \item \small exterior derivative \hfill \hyperpage{103} + + \indexspace + +\centering\large\noindent\textbf{F}\par\nopagebreak + + \item \small fibre \hfill \hyperpage{41} + \item \small fibre bundle \hfill \hyperpage{42} + \item \small field (algebraic) \hfill \hyperpage{54} + \item \small frame bundle \hfill \hyperpage{169} + \item \small fundamental group \hfill \hyperpage{37} + \item \small fundamental root \hfill \hyperpage{123} + + \indexspace + +\centering\large\noindent\textbf{G}\par\nopagebreak + + \item \small gauge map \hfill \hyperpage{189} + \item \small Grassmann algebra \hfill \hyperpage{100} + \item \small group \hfill \hyperpage{37} + \item \small group action \hfill \hyperpage{163} + + \indexspace + +\centering\large\noindent\textbf{H}\par\nopagebreak + + \item \small hairy ball theorem \hfill \hyperpage{92} + \item \small Hamel basis \hfill \hyperpage{59} + \item \small Heine-Borel theorem \hfill \hyperpage{32} + \item \small holonomy group \hfill \hyperpage{195} + \item \small homeomorphism \hfill \hyperpage{31} + \item \small homotopic curves \hfill \hyperpage{36} + \item \small horizontal lift \hfill \hyperpage{191} + \item \small horizontal subspace \hfill \hyperpage{181} + + \indexspace + +\centering\large\noindent\textbf{I}\par\nopagebreak + + \item \small ideal \hfill \hyperpage{118} + \item \small image \hfill \hyperpage{12}, \hyperpage{16} + \item \small immersion \hfill \hyperpage{83} + \item \small implication \hfill \hyperpage{2} + \item \small infinity \hfill \hyperpage{14} + \item \small integral curve \hfill \hyperpage{158} + \item \small isomorphism + \subitem of associated bundles \hfill \hyperpage{177} + \subitem of bundles \hfill \hyperpage{43} + \subitem of groups \hfill \hyperpage{37} + \subitem of Lie algebras \hfill \hyperpage{117} + \subitem of Lie groups \hfill \hyperpage{112} + \subitem of modules \hfill \hyperpage{95} + \subitem of principal bundles \hfill \hyperpage{171} + \subitem of representations \hfill \hyperpage{147} + \subitem of sets \hfill \hyperpage{16} + \subitem of smooth manifolds \hfill \hyperpage{52} + \subitem of topological spaces \hfill \hyperpage{31} + \subitem of vector spaces \hfill \hyperpage{55} + + \indexspace + +\centering\large\noindent\textbf{J}\par\nopagebreak + + \item \small Jacobi identity \hfill \hyperpage{72} + \item \small Jacobian matrix \hfill \hyperpage{77} + + \indexspace + +\centering\large\noindent\textbf{K}\par\nopagebreak + + \item \small Killing form \hfill \hyperpage{120}, \hyperpage{150} + + \indexspace + +\centering\large\noindent\textbf{L}\par\nopagebreak + + \item \small left translation \hfill \hyperpage{112} + \item \small left-invariant vector field \hfill \hyperpage{114} + \item \small Lie algebra \hfill \hyperpage{72} + \item \small Lie bracket \hfill \hyperpage{72}, \hyperpage{102} + \item \small Lie group \hfill \hyperpage{111} + \item \small Lie group action \hfill \hyperpage{163} + \item \small limit point \hfill \hyperpage{29} + \item \small linear map \hfill \hyperpage{55} + \item \small Lorentz group \hfill \hyperpage{112} + + \indexspace + +\centering\large\noindent\textbf{M}\par\nopagebreak + + \item \small M\"obius strip \hfill \hyperpage{41} + \item \small manifold \hfill \hyperpage{40}, \hyperpage{49} + \subitem differentiable \hfill \hyperpage{50} + \subitem product \hfill \hyperpage{40} + \subitem topological \hfill \hyperpage{40} + \item \small map \hfill \hyperpage{16} + \subitem bilinear \hfill \hyperpage{57} + \subitem component \hfill \hyperpage{45} + \subitem continuous \hfill \hyperpage{30} + \subitem linear \hfill \hyperpage{55} + \subitem transition \hfill \hyperpage{46} + \item \small Maurer-Cartan form \hfill \hyperpage{186} + \item \small metric space \hfill \hyperpage{33} + \item \small module \hfill \hyperpage{91} + + \indexspace + +\centering\large\noindent\textbf{N}\par\nopagebreak + + \item \small neighbourhood \hfill \hyperpage{30} + + \indexspace + +\centering\large\noindent\textbf{O}\par\nopagebreak + + \item \small one-parameter subgroup \hfill \hyperpage{161} + \item \small open set \hfill \hyperpage{26} + \item \small orbit \hfill \hyperpage{165} + \item \small orthogonal group \hfill \hyperpage{112} + + \indexspace + +\centering\large\noindent\textbf{P}\par\nopagebreak + + \item \small paracompactness \hfill \hyperpage{34} + \item \small parallel transport map \hfill \hyperpage{194} + \item \small partition of unity \hfill \hyperpage{34} + \item \small path-connectedness \hfill \hyperpage{35} + \item \small path-ordered exponential \hfill \hyperpage{194} + \item \small predicate \hfill \hyperpage{3} + \item \small principal bundle \hfill \hyperpage{167} + \item \small principal bundle morphism \hfill \hyperpage{171} + \item \small principle of restricted comprehension \hfill + \hyperpage{13} + \item \small proof \hfill \hyperpage{5} + \item \small proposition \hfill \hyperpage{2} + \item \small pull-back \hfill \hyperpage{82}, \hyperpage{96} + \item \small push-forward \hfill \hyperpage{81}, \hyperpage{88} + + \indexspace + +\centering\large\noindent\textbf{Q}\par\nopagebreak + + \item \small quotient topology \hfill \hyperpage{28} + + \indexspace + +\centering\large\noindent\textbf{R}\par\nopagebreak + + \item \small refinement \hfill \hyperpage{33} + \item \small relation \hfill \hyperpage{3} + \subitem $\in$ \hfill \hyperpage{8} + \subitem equivalence \hfill \hyperpage{19} + \subitem functional \hfill \hyperpage{12} + \item \small relativistic spin group \hfill \hyperpage{130} + \item \small representation \hfill \hyperpage{146}, \hyperpage{155} + \item \small ring \hfill \hyperpage{90} + \item \small root \hfill \hyperpage{123} + \item \small Russell's paradox \hfill \hyperpage{9} + + \indexspace + +\centering\large\noindent\textbf{S}\par\nopagebreak + + \item \small section \hfill \hyperpage{42} + \item \small sequence \hfill \hyperpage{29} + \item \small set \hfill \hyperpage{8} + \subitem empty \hfill \hyperpage{9} + \subitem infinite \hfill \hyperpage{17} + \subitem intersection \hfill \hyperpage{14} + \subitem pair \hfill \hyperpage{11} + \subitem power \hfill \hyperpage{14} + \subitem union \hfill \hyperpage{12} + \item \small signature \hfill \hyperpage{111} + \item \small singleton \hfill \hyperpage{11} + \item \small smooth curve \hfill \hyperpage{69} + \item \small stabiliser \hfill \hyperpage{166} + \item \small standard topology \hfill \hyperpage{27} + \item \small structure constants \hfill \hyperpage{122} + \item \small sub-bundle \hfill \hyperpage{43} + \item \small symplectic form \hfill \hyperpage{106} + + \indexspace + +\centering\large\noindent\textbf{T}\par\nopagebreak + + \item \small tangent space \hfill \hyperpage{69} + \item \small tangent vector \hfill \hyperpage{69} + \item \small target \hfill \hyperpage{16} + \item \small tautology \hfill \hyperpage{2} + \item \small tensor \hfill \hyperpage{57} + \subitem components \hfill \hyperpage{61} + \subitem product \hfill \hyperpage{58} + \item \small tensor density \hfill \hyperpage{176} + \item \small tensor field \hfill \hyperpage{96} + \item \small topological space \hfill \hyperpage{25} + \subitem (open) cover \hfill \hyperpage{32} + \subitem compact \hfill \hyperpage{32} + \subitem connected \hfill \hyperpage{35} + \subitem Hausdorff \hfill \hyperpage{32} + \subitem homeomorphic \hfill \hyperpage{31} + \subitem paracompact \hfill \hyperpage{34} + \subitem path-connected \hfill \hyperpage{35} + \subitem T1 property \hfill \hyperpage{32} + \item \small topology \hfill \hyperpage{25} + \subitem chaotic \hfill \hyperpage{26} + \subitem discrete \hfill \hyperpage{26} + \subitem induced \hfill \hyperpage{28} + \subitem product \hfill \hyperpage{29} + \subitem quotient \hfill \hyperpage{28} + \subitem standard \hfill \hyperpage{27} + \item \small torsion \hfill \hyperpage{200} + + \indexspace + +\centering\large\noindent\textbf{U}\par\nopagebreak + + \item \small undecidable \hfill \hyperpage{7} + \item \small universal quantifier \hfill \hyperpage{4} + + \indexspace + +\centering\large\noindent\textbf{V}\par\nopagebreak + + \item \small vector field \hfill \hyperpage{87} + \item \small vector space \hfill \hyperpage{54} + \subitem basis \hfill \hyperpage{59} + \subitem dimension \hfill \hyperpage{60} + \subitem dual \hfill \hyperpage{57} + \subitem subspace \hfill \hyperpage{55} + \item \small vertical subspace \hfill \hyperpage{180} + \item \small volume (form) \hfill \hyperpage{67} + + \indexspace + +\centering\large\noindent\textbf{W}\par\nopagebreak + + \item \small wedge product \hfill \hyperpage{99} + \item \small Weyl group \hfill \hyperpage{126} + \item \small winding number \hfill \hyperpage{39} + + \indexspace + +\centering\large\noindent\textbf{Y}\par\nopagebreak + + \item \small Yang-Mills field strength \hfill \hyperpage{199} + + \indexspace + +\centering\large\noindent\textbf{Z}\par\nopagebreak + + \item \small Zorn's lemma \hfill \hyperpage{92} + +\end{theindex} diff --git a/main.log b/main.log new file mode 100644 index 0000000..0a53338 --- /dev/null +++ b/main.log @@ -0,0 +1,1941 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.26 (MiKTeX 24.4) (preloaded format=pdflatex 2024.7.26) 26 JUL 2024 23:55 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**./main.tex +(main.tex +LaTeX2e <2024-06-01> patch level 2 +L3 programming 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[]\T1/cmr/m/n/10.95 Let $\OML/cmm/m/it/10.95 V +$ \T1/cmr/m/n/10.95 be a finite-dimensional vec-tor space over $\OML/cmm/m/it/1 +0.95 K$ \T1/cmr/m/n/10.95 with ba-sis $\OMS/cmsy/m/n/10.95 B \OT1/cmr/m/n/10.95 + = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 e[]; [] ; e[]\OMS/cmsy/m/n/10.95 g$ + + [] + + + +[61] + +[62] + +[63] + +[64] + +[65] + +[66] +Overfull \hbox (4.70912pt too wide) in paragraph at lines 656--657 +[]\T1/cmr/m/n/10.95 Note that $\OML/cmm/m/it/10.95 ^^^$ \T1/cmr/m/n/10.95 needs + to be an en-do-mor-phism be-cause we need to ap-ply $\OML/cmm/m/it/10.95 !$ \T +1/cmr/m/n/10.95 to $\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 +.95 e[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; [] ; ^^^\OT1/cmr/m/n/10.95 (\O +ML/cmm/m/it/10.95 e[]\OT1/cmr/m/n/10.95 )$\T1/cmr/m/n/10.95 , + [] + + + +[67]) + +[68] (ga/09tangent_space.tex + +[69] + +[70] + +[71] + +[72] + +[73] + +[74] + +[75] + +[76] + +[77]) + +[78] (ga/10tangent_bundle.tex + +[79] + +[80] + +[81] + +[82] + +File: graphics/immers.pdf Graphic file (type pdf) + +Package pdftex.def Info: graphics/immers.pdf used on input line 282. +(pdftex.def) Requested size: 289.0804pt x 102.78412pt. + + +[83 <./graphics/immers.pdf>] + +[84] +Overfull \hbox (17.06049pt too wide) in paragraph at lines 367--368 +[]\T1/cmr/bx/n/10.95 Proposition 10.16. []\T1/cmr/m/it/10.95 Any two charts $\O +T1/cmr/m/n/10.95 ([][](\OML/cmm/m/it/10.95 U\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/1 +0.95 ; ^^X\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 ([][]([] +)\OML/cmm/m/it/10.95 ; []\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 2 \U/rsfs/m/n +/10.95 A[]$ \T1/cmr/m/it/10.95 are $\OMS/cmsy/m/n/10.95 C[]$\T1/cmr/m/it/10.95 +-compatible. + [] + + + +[85]) + +[86] (ga/11tensor_ii.tex + +[87] + +[88] + +[89] + +[90] + +[91] + +[92] + +[93] + +[94] + +[95] + +[96]) + +[97] (ga/12grassmann.tex + +Package amsmath Warning: Foreign command \atopwithdelims; +(amsmath) \frac or \genfrac should be used instead +(amsmath) on input line 30. + + + +[98] + +[99] + +[100] + +[101] + +[102] +Overfull \hbox (13.79555pt too wide) in alignment at lines 291--296 + [] [] [] [][] + [] + + + +[103] + +[104] + +[105] + +[106] + +[107] +Overfull \hbox (4.74231pt too wide) detected at line 588 +\OT1/cmr/m/n/10.95 0 [] +[](\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10.95 ) [] +[](\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10.95 ) [] [] [] +[](\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10.95 ) [] +[](\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10.95 ) [] [] [] +[](\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10.95 ) [] 0\OML/cmm/m/it/10.95 ; + [] + + + +[108] + +[109]) + +[110] (ga/13lie_groups.tex + +[111] + +[112] + +[113] + +[114] + +[115] + +[116]) + +[117] (ga/14classification.tex + +[118] + +[119] + +[120] + +[121] + +[122] + +[123] + +[124] + +[125] + +[126] + +[127] + +[128]) + +[129] (ga/15sl2.tex + +[130] + +[131] + +[132] + +[133] + +[134] + +[135] + +[136] + +[137] +Overfull \hbox (46.11174pt too wide) in alignment at lines 313--318 + [] [] [] [][] + [] + + +Overfull \hbox (9.15494pt too wide) in alignment at lines 324--329 + [] [] [] [][] + [] + + + +[138]) + +[139] (ga/16dynkin.tex + +[140] + +[141] + +[142] + +[143] + +[144]) + +[145] (ga/17representation.tex + +[146] + +[147] + +[148] + +[149] + +[150] + +[151] + +[152] + +[153] + +[154] + +[155] + +[156]) + +[157] (ga/18reconstruction.tex + +[158] + +[159] + +[160] + +[161]) + +[162] (ga/19principal.tex + +[163] + +[164] + +[165] + +[166] + +[167] + +[168] + +[169] + +[170] + +[171] + +[172] + +[173]) + +[174] (ga/20associated.tex + +[175] + +[176] + +[177] + +[178]) + +[179] (ga/21connections.tex + +[180] + +[181] + +[182]) + +[183] (ga/22yang-mills.tex + +[184] + +[185] + +[186] + +[187] + +[188] + +[189]) + +[190] (ga/23parallel.tex + +[191] + +[192] +Overfull \hbox (24.25906pt too wide) in alignment at lines 88--91 + [] [] [] [][] + [] + + +Overfull \hbox (7.19853pt too wide) in alignment at lines 93--98 + [] [] [] [][] + [] + +Missing character: There is no ; in font nullfont! + + +[193] +Overfull \hbox (0.68793pt too wide) in paragraph at lines 154--155 +[]\T1/cmr/m/it/10.95 Remark \T1/cmr/m/n/10.95 23.5\T1/cmr/m/it/10.95 . []\T1/cm +r/m/n/10.95 The par-al-lel trans-port is, in fact, a bi-jec-tion be-tween the f +i-bres $[][]\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 ^^M\OT +1/cmr/m/n/10.95 (0)\OMS/cmsy/m/n/10.95 g\OT1/cmr/m/n/10.95 )$ + [] + + + +[194] + +[195]) + +[196] (ga/24curvature.tex + +[197] + +[198] + +[199] + +[200]) + +[201] (ga/25covariant.tex + +[202] + +[203] + +[204]) + +[205] (ga/26quantum.tex) + +[206] (ga/27spin.tex) + +[207] (ga/28kinematical.tex) + +[208] (biblio.tex +Overfull \hbox (34.32684pt too wide) in paragraph at lines 10--12 +\T1/cmr/m/n/10.95 (preliminary ver-sion [][]$\T1/cmtt/m/n/10.95 http : / / www +. mathematik . uni-[]muenchen . de / ~hamilton / gaugetheory . + [] + + + +[209] + +[210] +Overfull \hbox (0.70036pt too wide) in paragraph at lines 87--88 +[]\T1/cmr/m/n/10.95 Fuchs, Schweigert, \T1/cmr/m/it/10.95 Sym-me-tries, Lie Al- +ge-bras and Rep-re-sen-ta-tions: A Grad-u-ate Course + [] + +) + +[211] +runsystem(makeindex -s example_style.ist 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