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Zelevinsky A.V. — Representations of Finite Classical Groups |
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Предметный указатель |
Aitken's Theorem 76
Branching rule for general linear and affine groups 148
Branching rule for symmetric groups 90
Branching rule for wreath products 104
Bruhat decomposition 173
Conjugation of a Hopf algebra 152
Cuspidal representation 111
Decomposition theorem 22
Degenerate Gelfand — Graev model 142
Degenerate Gelfand — Graev modules 138
Degenerate representation 113
Frobenius character formula 91
Functors and 107
Functors and , Composition Theorem 169
Gelfand — Graev Theorem 113 131
Graded set 68
Green formula 135
Green polynomials 126
Green polynomials, orthogonality relations 127
Hall algebra 116
Hall polynomials 117
Hook formula 92
Hopf algebra 16
Hopf algebra, commutative 17
Hopf algebra, connected 17
Inner product on a T-group 15
Irreducible elements 15
Jacobi — Trudi formula 76
Littlewood — Richardson Bule 77 90
Littlewood — Roe Theorem 77
Macdonald conjecture 137
Murnaghan — Nakayama Character formula 91
Naegelsbach — Kostka Formula 76
Newton formulas 76
Non-degenerate representation 113
Numbering of a skew diagram 59
Numbering of a skew diagram, column-strict 60
Numbering of a skew diagram, row-strict 60
Numbering of a skew diagram, type of 59
Partition 33
| Partition, canonical form of 34
Picture 156
Picture, extension of 160
Picture, reduction of 160
Positive element of a T-group 15
Positive morphism (= T-group morphism) 15
Power sums 75
Primary representation 112
Primitive element 18
PSH-algebra 18
PSH-algebra of representations of symmetric groups 13 87
PSH-algebra of representations of the groups 111
PSH-algebra of representations of wreath products 94
Q-binomial formula 119
Quasi-Hopf algebra 17
Regular subset of a skew diagram 57
S. Gelfand's Theorem 113 131 146
Schur functions (= S-functions ) 76
Schur index 142
Skew diagram 57
Skew Schur functions 76
Skew-hook 63 64
Steinberg representation 115
Symmetric group 12
Symmetric polynomials 71
Symmetrized monomials 72
T-group (= trivialized group) 14
T-subgroup 15
Tensor product of PSH-algebras 21
The universal PSH-algebra R 27 28
The universal PSH-algebra R, irreducible elements of 49
The universal PSH-algebra R, primitive elements of 42
The universal PSH-algebra R, various bases of 49
The wreath products 93
The wreath products , conjugacy classes 100
The wreath products , irreducible characters 103
Thoma's Theorem 148
Transposition of a Young diagram 34
Unipotent classes 116
Young diagram 34
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