408 Index
subrepresentation, 361
sum of rigged orbits, 132
super Jacobi identity, 252
super Leibnitz rule, 251
supercommutative, 251
supercommutator, 248, 252
supergroup, 194
support of a function, 236
symmetric, 344
symmetric algebra, 352
symmetric coordinate system, 279
symmetrization map, 35, 287
symplectic leaf, 264
symplectic reduction, 198, 266
symplectic vector field, 256
symplectomorphism, 256
tame, 354, 392
tangent space, 240
tangent vector, 240
tensor density of the first kind, 245
tensor density of the second kind, 245
tensor field of type (k, l), 244
topological space, 207
topology
uniform, 358
weak, strong, 358
trace, 342
trace class, 342
trace norm, 341
transition functions, 231
transitive action, 321
trivial deformation, 292
twisted product, 239
type I, 354
unimodular coordinate system, 250
unipotent, 112
unipotent radical, 156
unirrep, 73
unit morphism, 212
unitary, 340
unitary dual, 78
unitary representation
of a Lie group, 360
universal enveloping algebra, 286
universal property of coadjoint orbits, 17
vacuum vector, 45
vector bundle, 239
natural, 243
vector differential form, 251
vector field, 240
vector product of quaternions, 273
velocity, 240
Virasoro-Bott group, 22
virtual coadjoint orbit, 122
von Neumann algebra, 352
decomposable, 352
weak integral, 336
weakly containment, 106
weight, 246
weight lattice, 307
weight vector, 245
Weyl algebra, 40
Weyl chamber, 300
open, 300
positive, 300
Weyl group, 154, 299, 324
wild, 354
Witt theorem, 28
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