404 Index
classical compact groups, 136
closed, 344
closed set, 208
coadjoint orbit, 1
cochain, cocycle, coboundary, 217
cocycle equation, 22, 218, 372, 388
coefficients, 338
cohomology group, 217
commutant, 352
commutative
diagram, 213
Fourier analysis, 135
commutator, 270
compact real form, 314
compatible, 374, 385
complete, 209, 338
completion, 210
complexification, 315
composition, 212
connected space, 208
continuous basis, 46
continuous map, 208
continuous sum, 351
contractible chart, 232
contraction, 292
countable additivity, 386
covariance condition, 330
covector field, 241
Coxeter element, 307
Coxeter number, 147
creation operators, 40
cross-norm, 341
curvature form, 13
cyclic vector, 15, 346
de Rham cohomology, 221
decomposable, 351
deformation (of a Lie algebra), 292
degenerate series, 180
derivation, 241
of degree k, 251
diagonalizable, 352
diamond Lie algebra, 43, 126
diffeomorphic, 232
diffeomorphism, 232
differential
k-form, 241
1-form, 241
direct
integral, 351
of algebras, 352
limit, 222
product, 215
sum, 214
direct product, 320
direct sum, 361
directed set, 222
disjoint measures, 350
distance, 208
divergence, 250
division algebra, 272
domain of definition, 343
natural, 43
dominant weight, 246
dual cone, 300
dual hypergroups, 195
dual root, 312
dual root system, 312
Dynkin diagram, 302
Dynkin graph, 302
extended, 144
effective, 319
Einstein’s rule, 242
elementary cell, 204
elementary system, 197
equivalent
atlases, 231
deformations, 292
essential homomorphism, 236
essentially self-adjoint, 344
Euler-Bernoulli triangle, 191
exceptional groups, 136
exponential, 109
coordinate system, 282
exponential coordinates, 33
exponential map, 283
exponents, 307
extension, 297, 344
central, 297
trivial, 297
exterior point, 208
factor manifold, 229
factorization problem, 200
faithful, 319
fiber, 238, 239
fiber bundle, 238
base of, 238
section of, 239
fibered product, 170
over G, 320
field of geometric objects, 243
filtration, 149
first amendment to Rule 2, 124
first integral, 267
fixed point, 320
flag, 149
flag manifold, 149, 323
degenerate, 149
Fourier analysis, 135
Fourier coefficients, 364
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