INDE X
A2, 183
A4, 63
A5, 88
At, 187
abelian group, 1, 65
abelization of G, 42
act dually, 249
action, 3
Ad(», 130
ad(X), 130
adjoint representation, 130
affine group, 10
algebraic integer, 43
algebraic number, 43
alternating space, 253
ambivalent, 48
anti-unitary, 30
automorphism, 2
B
2
, 183
B£i 187
basis, 206
branching relations, 108
Buckyball, 16
Burnside's theorem, 55
C, 13
Gn, 13
C/, 187
Cartan, 137
Cartan integers, 181, 197, 199, 201,
203
Cartan subalgebra, 166, 177, 197,
199, 200, 203
Cartan's criterion, 171
center, 39
central projection, 56
character, 35, 39, 157
character table, 42
class, ambivalent, 48
class function, 39
classical groups, 121, 137
Clebsch-Gordan integers, 29, 119, 222
Clifford algebra, 68, 152
Clifford group, 68-75
CL(n), 68
CL+(n), 73
column permutations, 101
commutant, 248
commutator subgroup, 35, 42
compact groups, 121
compact semisimple Lie group, 165
complex conjugate, 30
complex conjugate representation, 30-
34
complex representation, 47, 72, 74,
158, 242
conjugacy classes, 4, 39
convolution, 25, 38
coset, 3
cotangent bundle, 123
cotangent space, 123
covering group, 150
cube, 13, 15, 83
cycle, 9
D2n, 13
/#(,), 25
De, 187
degree, 21
differential equations, 124
differential form, 123
dihedral group, 8, 81
dimension theorem, 43
263
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