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| Littlewood D.E. — The Theory of Group Characters and Matrix Representations of Groups |
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Название: The Theory of Group Characters and Matrix Representations of Groups
Автор: Littlewood D.E.
Язык: 
Рубрика: Математика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k:
Издание: Second Edition
Год издания: 2006
Количество страниц: 310
Добавлена в каталог: 23.04.2008
Операции: Положить на полку |
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| Предметный указатель |
Abelian group 32
Algebra 22
Algebra, Frobenius 43
Algebra, simple matrix 25
Alternants 87
Associated characters 227
Associative algebras 22
Basic spin representation 251
Basis of algebra 22
Bi-altemants 87
Binary concomitants 208
Canonical form of matrix (classical) 7
Carrier space 1
Chains, method of 195
Characteristic equation of element, of algebra 24 27
Characteristic equation of matrix 6
Characteristic equation of matrix, reduced 14
Characteristic roots of a matrix 6
Characteristic unit 56
Characteristic unit, primitive 71
Characters, group 45
Characters, group, associated 227
Characters, group, compound 52
Characters, group, conjugate 227
Characters, group, difference 245
Characters, group, double 226
Characters, group, of continuous groups 180
Characters, group, spin 249
class 38
Class function 207
Class function, even 225
Class, of conjugate subgroups 41
Commutator subgroup 173
Completely reducible matrix representation 49
Completely reducible, invariant matrix 181
Compound character 52
Compound matrix 179
Conjugate group elements 38
Conjugate, characters 227
Conjugate, partitions 60
Conjugate, subgroups 41
Continuous matrix groups 178
Contragredient isomorphisms 175
Coordinates, temporal, spatial 262
Covering group 249
Cycle of permutation group 36
Cyclic group 32
Degree of character 46
Diagonal matrix 3
Difference character 245
Direct product (of groups) 162
Direct product (of matrices, algebras, groups) 21
Direct sum of algebras 26
Direct sum of matrices 194
Direct sum of matrix representations 50
Double characters 245
Element algebras 22
Element groups 32
Element invariant matrices 180
Element matrix representations 49
Element of algebra 22
Element of group 32
Element, equivalent matrices 4
Frobenius algebra 43
Generating functions for canonical form of invariant matrix 200
Generating functions for concomitants 207
Generating functions for S-functions 100 102 110
Graph of partition 59
Graph of partition, regular 67
Group 32
Group integration 211
Group manifold 210
Group reduction function 164
Group, abelian 32
Group, abstract, special 33
Group, alternating 37
Group, characters 45
Group, cyclic 32
Group, matrix 48
Group, permutation 36
Group, regular 52
Group, symmetric 36
Hermitian matrix 19
Hermitian matrix, skew 19
Idempotent matrix 14
Idempotent, element of algebra 26
Idempotent, principal 27
Immanants 81
Induced matrix 179
Infinitesimal transformations and rotations 19
Interchange 37
Invariant matrices 180
Invariant sub-algebra 26
Invariant theory, application to 203
Inverse transformation 1
Isomorphic (simply) groups 32
Isomorphisms of groups 175
| Lattice permutations 67
Leading diagonal of graph 60
Linear set 26
Linear transformation 1
Matrix 1
Matrix, diagonal 3
Matrix, group 48
Matrix, Hermitian and skew-Hermitian 19
Matrix, idempotent 14
Matrix, nilpotent 14
Matrix, orthogonal 17
Matrix, permutation 3
Matrix, rank of 6
Matrix, rectangular 5
Matrix, regular 52
Matrix, representation of algebra 23
Matrix, symmetric and skew-symmetric 19
Matrix, unitary 15
Meet (of linear sets) 26
Modulus (of algebra) 26
Multiplication of S-functions 91
New type of S-functions 206
Nilpotent matrix 14
Nilpotent, element of algebra 26
Nilpotent, properly 27
Order (of group) 32
Order, (of class) 38
Order, (of group element) 32
Orthogonal matrix 17
Parametric angles 221
Partition 39 59 conjugate
Perfect group 174
Permutation matrix 3
Permutation, group 36
Permutation, positive and negative 37
Permutation, regular representation 42
Permutation, representation 41
Primitive characteristic units 71
Principal idempotent 27
Properly nilpotent 27
Quaternions 25
Quotient group 41
Rank (of matrix) 6
Rank (of partition) 60
Reduced characteristic equation 14 27
Reducible algebra 26
Reducible, completely, invariant matrix 181
Reducible, invariant matrix 180
Reducible, representation 49
Regular permutation representation 42
Regular, application of nodes 67 69
Regular, group matrix 52
Representation as permutation group 41
Representation matrix 45 48
Representation of group 33
Representation regular as permutation group 42
Representation, p-valued 248
Representation, reducible 49
Representation, true and spin 248
Rotation 18
Rotation, infinitesimal 20
s-function 82 84
Self-conjugate element of group 40
Self-conjugate subgroup 40 159
Separation of partition 61
Simple matrix algebra 25
Simply isomorphic groups 32
Singular (and non-singular) transformations 1
Singular matrix 3
Solvable groups 174
Spatial coordinates 262
Spin character 249
Spin character, difference 259
Spin representation 248
Spin representation, basic 251
Spur of matrix 14
Standard tableaux 74
Sub-algebra 26
Sub-algebra, invariant 26
Subgroup 33
Subgroup, self-conjugate 40
Symmetric (and skew-symmetric) matrices 19
Symmetric group 36
Tableaux, Young 72
Temporal coordinates 262
Trace 31
Transform of group 41
Transform of matrix 4
Transformation, linear 1
Transitive factor of two groups 165
Transitive groups 42 164
Transitive sets 42 165
Unitary matrix 15
Vectors 5
Young tableau 72
Young tableau, standard 74
Young tableau, unit 74
Young tableau, with repeated symbols 79
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