Index
∗-representation, 374, 384
α-string, 312
-neighborhood, 209
abelianization, 324
addition rule, 168
adjoint, 340, 344
Adler-Kostant scheme, 200
admissible, 125
Ado Theorem, 272
almost complex structure, 252
almost product structure, 253
amendment to Rule 6, 134
amendments to Rules 3, 4, 5, 132
angle, 338
annihilation operators, 40
anti-Hermitian, 340
anticanonical class, 172
antihomomorphism, 319
atlas, 231
ball
open, 209
Banach space, 333–335
basic group, 133
Bessel inequality, 338
Betti number
i-th, 324
Betti numbers, 221
Borel
function, 385
subgroup, 153
subset, 254, 385
boundary operator, 217
boundary point, 208
bounded, 335
bundle
cotangent, 241
trivial, 239
Campbell-Hausdorff formula, 195
canonical
anticommutation relations, 20
commutation relations, 39
coordinates, 33, 142, 256
decomposition, 311
embedding, 215
form, 163
map, 223
projection, 215
relations, 258
transformation, 256
CAR, 20
Cartan matrix, 302
Cartan subalgebra, 311
Cartan subgroup, 153
category, 212
dual, 213
Cauchy sequence, 209
CCR, 39
Fock realization, 48
Weyl form, 42
Cech
ˇ
Cech cohomology, 223
chain complex, 217
character, 369
distributional, 369
generalized, 369
infinitesimal, 368
multiplicative, 73
chart, 231
Chevalley basis, 137
403
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