Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Cahn R.N. — Semi-Simple Lie Algebras and Their Representations
Cahn R.N. — Semi-Simple Lie Algebras and Their Representations



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Semi-Simple Lie Algebras and Their Representations

Автор: Cahn R.N.

Язык: en

Рубрика: Математика/Алгебра/Теория представлений/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 158

Добавлена в каталог: 14.12.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$A_n$      53 70
$B_n$      62 70
$C_n$      56 70
$d_n$      60 70
$E_6$      71
$E_7$      71
$E_8$      71
$F_4$      71
$G_2$      70
$G_2$, Cartan matrix      48
$G_2$, representations      112 113
Abelian subalgebra      14 22
AD      12
Adjoint representation      12 31.
Algebra, semi-simple      22
Algebra, simple      22
Allowable set      64
Alternating function      104
Basic representation      81
Bilinear forms      29 135
Bilinear forms, anti-symmetric      135—139
Bilinear forms, invariance      28 29
Bilinear forms, Killing      17
Bilinear forms, symmetric      135—139
Boerner, H.      83
Branching rules      144
Campbell — Baker — Hausdorff theorem      2
Carruthers, P.      16
Cartan matrix      45
Cartan matrix for $A_n$      54
Cartan matrix for $B_n$      62
Cartan matrix for $C_n$      57
Cartan matrix for $D_n$      60
Cartan subalgebra      14 19 25
Casimir operator      6 84 87 89
Chain of roots      117
Character of a representation      103
Classical Lie algebras      52
Commutation relations      11 30
Commutator      3
Conjugacy classes      124
Dimension of a representation      111 112
Dimension of a representation for SU(n)      114
Dirac bra-ket notation      15
Dual space      15
Dynkin      i 49—51 63 83 98 127 143 153
Dynkin, coefficients      74
Dynkin, diagram      49
Dynkin, diagram for $A_n$      54
Dynkin, diagram for $B_n$      62
Dynkin, diagram for $C_n$      57
Dynkin, diagram for $D_n$      60
Dynkin, extended diagrams      148
Dynkin, Method of Parts      111
Dynkin, Second Highest Rep. Theorem      117
Exceptional Lie algebras      64
Exceptional Lie algebras, Dynkin digrams for      70 71
Extended Dynkin diagram      131
Extended Weight Scheme      148
Freudenthal’s recursion formula      91—94
Functional      15
Fundamental representation      80
Gasiorowicz, S.      16
Gell — Mann matrices      10 16
Georgi, H.      ii 83
Golubitsky, M.      134 143
Gottfried, K.      8
Height of a representation      139
Hermitian matrix      7
Ideal      22
Index of a representation      90
Index of an embedding      140
Index of product representations      126
Invariance of Killing form      28
Invariant function      103
Invariant subspace      6
Irreducible representation      6
Jacobi identity      3
Jacobson      8 24 30 38 42 48 63 64 72 83 98 101 102 114
Killing form      17
Killing form, invariance of      28
Killing form, non-degeneracy of      23
Killing form, relation to semi-simplicity      23
Kostant’s formula      116
Level      46
Lie algebra      3
Lie product      3
Maximal subalgebra      130 134 142
Mc Kay, W. B.      143 146 153
Method of Parts      121
Miller, W.      63
O(7)      81
Operators, Casimir      6 84 87 89
Operators, lowering      4 34
Operators, raising      4 34
Orthogonal group      57
Patera, J.      143 146 153
Pauli matrices      8 10
Positive root      43
Positive root, algorithm for finding      46—47
Product representation      7 79 116
R-subalgebra      130
Rank      45
Reducible representation      6
Regular element      26
Regular subalgebra      129
Representation      4 32
Representation, adjoint      32 39
Representation, basic      81
Representation, character of      103
Representation, dimension of      111
Representation, fundamental      80
Representation, index of      90
Representation, irreducible      6
Representation, product      7 79 116
Representation, product, antisymmetric      80
Representation, product, symmetric      80
Representation, reducible      6
Representation, spinorial      124
Root vectors      15 26
Roots      15
Roots, $\sum=$ set of      29
Roots, positive      43
Roots, simple      43
Roots, simple, $\Pi=$ set of      44
Rotation group      1
Rothschild, B.      134 143
S-subalgebra      130
Scalar product on $H_0^{\ast}$      20
Scalar product on $H_0^{\ast}$ for SU(3)      21
Scalar product on $H_0^{\ast}$ in root space      42
Schensted, I.      83
Second highest representation      117
Semi-simple algebra      22
Simple algebra      22
Simple root      43
Slansky, R.      127 143
SO(10), Dynkin coefficients      77
SO(10), representations      113
SO(2n), Cartan matrix      60
SO(2n), Killing form      59
SO(2n+l), Cartan matrix      62
SO(2n+l), Killing form      61
SO(7)      81
Sp(2n)      55
Sp(2n), Cartan matrix      57
Spinorial representation      124
String of weights      34 40
SU(2)      1 7
SU(2), Casimir operator for      88
SU(3)      9
SU(3), 27 dimensional representation      95 99
SU(3), adjoint representation      12
SU(3), Cartan matrix      46
SU(3), Dynkin coefficients      75
SU(3), Freudenthal formula applied to      95
SU(3), Killing form      18
SU(3), root vectors      21
SU(3), weight vectors      33
SU(3), Weyl group      99
SU(N)      53 114
Subalgebra      22 128
Subalgebra, Abelian      14 22
Subalgebra, Cartan      14 25
Subalgebra, maximal      130
Subalgebra, proper      6
Subalgebra, R-      130
Subalgebra, regular      129
Subalgebra, S-      130
Triality      124
U(3)      22
Unitary matrix      7
Vector space      3
Vector space, weight      33 73
Vector, root      15 26
Weight      33 73
Weight space      37 76
Weight vector      33
Weyl, character formula      111
Weyl, dimension formula      111 112
Weyl, group      36 98
Weyl, reflection      36 99
Young tableaux      83 114 116 121
Young tableaux, correspondence with Dynkin diagram      114
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте