Kirillov A.A. — Elements of the Theory of Representations :: Электронная библиотека попечительского совета мехмата МГУ

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Kirillov A.A. — Elements of the Theory of Representations

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Название: Elements of the Theory of Representations

Автор: Kirillov A.A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 256

Добавлена в каталог: 11.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Monomorphism      13
Morphism      3
Multiplicity function      54
Neighborhood      6
Nelson’s theorem      145
Net      3
Neumann algebra      91
Neumann — Weyl theorem      263
Nilpotent group of class K      17
Nilpotent Lie algebra      91
Nondegenerate representation      134
Nonsingular root system      93
Norm      36
Normable space      37
Normal element      48
Normal subgroup      15
normalizer      16
Nuclear operator      43
Nuclear space      43
Object      3
Odd permutation      262
Ol’sanskii’s theorem      199
One-parameter subroup      101
Open set      6
Operator irreducible representation      114
Operator representation      48
Ordered set      2
Orientable manifold      67
Orientation      67
Orthogonal idempotent      122
Orthogonal matrix      66
p-Adic integer      27
p-adic number      28
Partially holomorphic bundle      81
Partially holomorphic cross section      81
Partially ordered set      2
Pfaffian      253
Poisson bracket      232
Pontrjagin’s theorem      168
Positive functional      50
Positive measure      38
Positively connected charts      66
Prenorm      36
Presheaf      67
Primary representation      122
Prime ideal      147
Produced module      187
PRODUCT      4
Product of relations      2
Profinite group      24
Projection (of a bundle)      78
Projection measure      56
Projective representation      108
Projective tensor product      43
Projective unitary representation      218
Pseudo-orthogonal matrix      67
Pseudo-symplectic matrix      67
Pseudo-unitary matrix      67
Pukanszky’s condition      236
Quadratic form      34
Quantization      242
Quasiinvariant measure      131
R-near      8
Radical      25
Radicalring      26
Rank of a Lie algebra      94
Rank of nilpotency      90
Rank of solvability      90
Real form      92
Realification      111
Realization      13
Reduced root system      93
Reducible representation      109
Reflexive relation      2
Regular element      94
Regular measure      40
Regular representation      88
Relatively compact set      43
Representable functor      6
Representation of a category      175
Representation of a group      13
Representation of a Lie algebra      87
Representation with a homogeneous spectrum      127
Representation with a simple spectrum      127
Resolvent      45
Right coset      15
Right fraction      152
Right G-space      14
Right Haar measure      130
Right ideal      25
Right K-module      29
Ring      25
Ring, group      178
Ringed space      67
Schauder — Tihonov theorem      42
Schur’s criterion      156
Schur’s lemma      119
Schur’s Theorem      220
Schwartz’s theorem      149
Semidirect product      20
Seminorm      36
Semiseparated space      7
Semisimple Lie algebra      91
Semisimple ring      26
Set      1
Simple function      39
Simple group      17
Simple Lie algebra      91
Simple module      29
Simply connected covering group      85

Simply connected topological space      9
Skew field      27
Skew tensor      34
Smooth curve      68
Smooth manifold      63
Smooth tensor field      74
Smooth vector field      71
Smoothly connected charts      62
Solvable group of class K      17
Solvable Lie algebra      90
Source      53
Space of a bundle      56
Spatialy isomorphic      52
Spectral radius      45
Spectrum      45
Spinor representation      276 287
Square integrable representation      130
Stabilizer      15
Stationary subgroup      15
Stone — Weierstrass theorem      42
Strictily Hamiltonian vector field      234
Strictily homogeneous symplectic manifold      233
Strong topology      41
Structure      3
Structure constants      86
Structure sheaf      67
Subalgebra (of a Lie algebra)      89
Subcategory      3
Submodule      29
Subordinate subalgebra      236
Subring      25
subspace      7
SUM      4
Support of a generalized function      148
Support of a measure      41
Symmetric algebra      34 52
Symmetric group      62
Symmetric maximal ideal      52
Symmetric product      281
Symmetric relation      2
Symmetric representation      48
Symmetric tensor      34
Symplectic manifold      230
Symplectic matrix      66
System of roots      93
Tame group      127
Tangent bundle      79
Tangent vector      69 70
Tannaka’s theorem      176
Tensor algebra      33
Tensor bundle      79
Tensor field      74
Tensor product of algebras      32
Tensor product of bundles      79
Tensor product of modules      29 30
Tensor product of operators      31
Tensor product of representations      110
Tensorialy irreducible representation      115
Topological conjugate space      41
Topological factor representation      111
Topological G-space      23
Topological group      22
Topological linear space      35
Topological ring      27
Topological skew field      27
Topological space      6
Topological subrepresentation      111
Topologically decomposable      111
Topologically finite      111
Topologically irreducible      111
topology      6
Topology of a dual object      113
Tower of sets      3
Transition function      78
Transitive action      15
Trivial bundle      78
Two-sided ideal      25
Two-sided module      29
Uniform convergence      41
Uniform space      8
Uniformly continuous      8
Unimodular group      131
UNIT      25
Unitary element      48
Unitary matrix      64
Unitary representation of a group      112
Unitary representation of a right G-space      191
Universal formula for characters      251
Variation of a measure      38
Vector      31
Vector bundle      77
Vector field      71
Vector space      31
Vergne’s theorem      238
Virtual subgroup      191
Weak containment      147
Weak convergence      41
Weak tensor product      43
Weak topology      41
Weakly bounded set      41
Weakly integrable function      131
Weight vector      279
Weyl algebra      281
Weyl chamber      93
Weyl group      93
Weyl’s theorem      275
Wild group      127
Young diagram      264
Zermelo’s axiom      2
Zorn’s Lemma      2

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