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| James G.D. — The Representation Theory of the Symmetric Groups |
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| Предметный указатель |
 -maps 67
Basic combinatorial lemma 9
Basis, orthonormal 115
Basis, standard 29 69
Bilinear form, invariant 1
Bilinear form, non-singular 2
Binomial coefficients 87
Block 84 85 93
Branching theorem 34 62 79
Carter conjecture 97 102 105
CHARACTER 23 79
Column stabilizer 10
Composition factor 16 42 51 60 104 110
Composition factor, trivial 101
Conjugate diagram 9
Conjugate diagram, partition 9 25
Cycle type 6
Decomposition matrix 42 43 98 111 113 136
Determinantal Form 74
Diagram 8
Diagram, conjugate 9
Diagram, hook 80 92 98
Diagram, p-power 95 97
dictionary order 9
Dominance order 8
Dual module 3
Dual module, vector space 2
Exterior power 126
Garnir relations 27
General linear group 125
Gram matrix 3
Graph 18
Group algebra 16 41
Hook 73 77 89
Hook diagram 80 92 98
Hook formula 77 135
Hook graph 73
Hook, skew- 73
Involve 13
Irreducible representation 16 39 40 71
Irreducible representation, Specht module 89 104
Littlewood — Richardson rule 52 62 130
Maschke’s Theorem 1
Murnaghan — Nakayama rule 79 80 85
Nakayama Conjecture 85 102
Order on tabloids 10
Order, dictionary 9
| Order, dominance 8
Ordinary irreducible representation 16
Orthogonal form 114
Orthonormal basis 115
p-power diagram 95 97
p-regular partition 36
p-regular partition class 36
Pair of partitions 54
Partition 5
Partition, 2-part 94 95 97 106
Partition, proper 54
Partitions, pair of 54
Permutation 5
Permutation module 13
Polytabloid 13
Polytabloid, standard 29
Power, exterior 126
Power, symmetric 126
Row stabilizer 10
Schur function 131
Semistandard homomorphism 46
Semistandard homomorphism, reverse 102
Semistandard homomorphism, tableau 45
Signature 5
Signed column sum 13
Skew-hook 73
Specht module 13
Specht module, dimension 30 76 52 77
Specht module, irreducible 89 104
Specht series 65 69
Stabilizer 10
Standard 29
Submodule yheorem 15
Symmetric group 5
Symmetric power 126
Tableau 9
Tableau, standard 29
Tabloid 10
Tabloid, standard 29
Transposition 5
Type of sequence 54
Type of tableau 44
Weyl module 129
Weyl module, dimension 129 133
Young subgroup 13
Young’s natural representation 114
Young’s orthogonal Form 114
Young’s rule 51 69
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