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