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GROUP THEORY

Predrag Cvitanović

   Contents

   Index (very preliminary)

   1 Introduction (95% finished, 16 may 2002)

   2 Preview (95% finished, 16 may 2002)

   3 Invariants and irreducibility (90% finished, 30 may 2002)

   4 Diagrammatic notation (90% finished, 30 may 2002)

   5 Recouplings (90% finished, 16 may 2002)

   6 Permutations (90% finished, 16 may 2002)

   7 Casimir operators (80% finished, 16 may 2002)

   8 Group integrals (60% finished, 30 Oct 2000)

   9 Unitary groups (95% finished, 24 feb 2004)

   10 Orthogonal groups (90% finished, 16 may 2002)

   11 Spinors (80% finished, 29 jul 2002)

   12 Symplectic groups (commenced, 9 Oct 97)

   13 Negative dimensions (90% finished, 16 may 2002)

   14 Spinors' Sp(n) sisters (1/2 finished, 30 may 2002)

   15 SU(n) family of invariance (90% finished, 16 may 2002)

   16 G_2 family of invariance groups (90% finished, 16 may 2002)

   17 E_8 family of invariance groups (70% finished, 16 may 2002)

   18 E_6 family of invariance groups (3/4 finished, 16 may 2002)

   19 F_4 family of invariance groups (3/4 finished, 16 may 2002)

   20 E_7 family of invariance groups, negative dimensions (60% finished, 16 may 2002)

   21 Exceptional magic (3/4 finished, 1 May 96)

   A Recursive decomposition (1/2 finished, 15 apr 2000)

   B Properties of Young Projections (98% finished, 24 feb 2004)

   C G2 evaluation rules (60% finished, 29 july 2002)

   D E8 calculations (60% finished, 29 july 2002)

   References (preliminary, 29 july 2002)


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Predrag Cvitanović, dasgroup [snail] gatech.edu