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Littlewood D.E. — The Theory of Group Characters and Matrix Representations of Groups
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: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 2006

Количество страниц: 310

Добавлена в каталог: 23.04.2008

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