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
Sagan B.E. — The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
Sagan B.E. — The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions

Автор: Sagan B.E.

Аннотация:

This text is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous and the prerequisites have been kept to a minimum¿undergraduate courses in linear algebra and group theory will suffice.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd Edition

Год издания: 2001

Количество страниц: 264

Добавлена в каталог: 13.09.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
action      7
Action on generalized tableaux      79
Action on standard tableaux      55
Action on tabloids      55
Action, orbit      48 210
Action, trivial      11
Adjacent transposition      4
Algebra      4
Algebra, boolean      58 192
Algebra, center of      27
Algebra, commutant      23
Algebra, endomorphism      23
Algebra, full matrix      4
Algebra, group      8
Algebra, Weyl      197
Algorithm, backward slide      113
Algorithm, deletion      94
Algorithm, delta operator      121
Algorithm, dual Knuth      172
Algorithm, evacuation      122
Algorithm, forward slide      113
Algorithm, Greene — Nijenhuis — Wilf      137
Algorithm, Hillman — Grassl      148—150
Algorithm, insertion      92
Algorithm, Knuth      169—171
Algorithm, modified slide      126—128
Algorithm, Novelli — Pak — Stoyanovskii      125—132
Algorithm, Robinson — Schensted      92—94
Algorithm, straightening      70
Alternant      164
ample      209
Antidiagonal strip      113
Appel — Haken      213
Arm length of a hook      125
Arm of a hook      125
Automorphism      204
Backward slide      113
Backward slide, modified      128
Ballot sequence      176
Block      215
Boolean algebra      58 192
Boundary of a partition      117
Branching rule      77
Candidate cell      128
Cauchy identity      171
cell      54
Cell, candidate      128
Center      27
Center of commutant algebra      27 29
Center of endomorphism algebra      30
Center of matrix algebra      27
centralizer      3
Chain, ascending      194
Chain, descending      194
Chain, saturated      194
CHARACTER      30
Character, defining      31
Character, inner product      34
Character, linear      31
Character, orthogonality relations      35
Character, orthogonality relations, first kind      35
Character, orthogonality relations, second kind      42
Character, product      168
Character, regular      31
Character, table      32
Characteristic map      167 168
Chromatic, polynomial      214
Chromatic, symmetric function      214
Class function      32
Code      129
Coloring      213
Coloring, proper      213
Column insertion      95
Column tabloid      72
Column-stabilizer      60
Commutant algebra      23
Complement      13
Complement, orthogonal      15
Complete homogeneous symmetric functions      152 154
Complete reducibility      17
components      216
composition      67
Conjugacy of group elements      3
Conjugacy, class      3
Content      78
Converge      144
Corner      76
Cover      58
CYCLE      2
Cycle in a graph      217
Cycle of length k      2
Cycle, type      2
Cyclic module      57
Decreasing subsequence      97
Degree of a monomial      151
Degree of a power series      144
Degree of a representation      4
Deletion      94
Delta operator      121
Descent, permutation      221
Descent, row      70
Descent, tableau      206
Determinantal formula      132
Differential poset      see “Poset differential”
Dihedral group      51
Direct sum      13
Dominance lemma for partitions      59
Dominance lemma for tableaux      82
Dominance lemma for tabloids      68
Dominance order for partitions      58
Dominance order for tableaux      82
Dominance order for tabloids      68
Down operator in a differential poset      196
Down operator in Young’s lattice      193
Dual Cauchy identity      172
Dual equivalence of tableau      117
Dual Knuth equivalence      111
Dual Knuth equivalence of tableaux      113
Dual Knuth relations      111
East      129
Elementary symmetric functions      152 154
Endomorphism algebra      23
EQUIVALENCE      99
Equivalence, dual Knuth      111
Equivalence, dual Knuth, of tableaux      113
Equivalence, dual tableau      117
Equivalence, Knuth      100
Equivalence, Knuth, of tableaux      113
Equivalence, P      99
Equivalence, Q      111
Equivalence, tableaux      114
Equivalent, column tableaux      72
Equivalent, modules      19
Equivalent, row tableaux      55
Euler, L.      144 145
Evacuation      122
Ferrers diagram      54
Fibonacci, number      218
Fibonacci, poset      218
FixedPoint      2
Fomin, S.      195 197
Formal power series      142
Formal power series, convergence of      144
Formal power series, degree      144
Formal power series, homogeneous of degree n      151
Forward slide      113
Forward slide, modified      126
Four color theorem      214
Frame — Robinson — Thrall formula      124
Frobenius reciprocity law      48
Frobenius — Young formula      132
Frobenius, G.      45 166
Full matrix algebra      4
Garnir element of a pair of sets      70
Garnir element of a tableau      71
General linear group of a vector space      6
General linear group of matrices      4
Generalized permutation      169
Generalized Young tableau      78
Generating function      142
Generating function, weight      145
Gessel — Viennot      158
Graded      195
Grading      152
Graph      213
Graph, chromatic polynomial      214
Graph, coloring      213
Graph, components      216
Graph, cycle      217
Graph, Four Color Theorem      214
Graph, independent partition      215
Graph, independent set      215
Graph, isomorphism      217
Graph, neighbors      213
Graph, proper coloring      213
Graph, stable partition      215
Graph, stable set      215
Graph, tree      217
Greatest lower bound      192
Greene — Nijenhuis — Wilf algorithm      137
Greene, C.      102 173
Group, action      see “Action”
Group, algebra      8
Group, character      30
Group, cyclic      5
Group, dihedral      51
Group, general linear      4 6
Group, symmetric      1
Growth      197
Haiman, M.D.      117
Hasse diagram      58
Hasse diagram, normal      112
Hasse diagram, skew      112
Hillman — Grassl algorithm      148—150
Homogeneous of degree n      151
Homomorphism      18
Homomorphism, corresponding to a tableau      80
Hook      124
Hook, arm      125
Hook, formula      124
Hook, leg      125
Hook, rim or skew      180
Hook, rooted tree      138
Hook, shifted      139
Hook, tableau      126
Hooklength      124
Hooklength, rooted tree      138
Hooklength, shifted      139
Inclusion-exclusion      see “Principle of Inclusion-Exclusion”
Incomparable      58
Increasing subsequence      97
Independent, partition      215
Independent, set      215
Induced representation      45
Inequivalent      19
Inner corner      76
Inner product of characters      34
Inner product, invariant      14
Insertion tableau      93
Insertion, column      95
Insertion, path      92
Insertion, row      92
Interval of a poset      219
Invariant, inner product      14
Invariant, subspace      10
Involution      2
Irreducibility      12
Isomorphism, graph      217
Isomorphism, module      19
Isomorphism, poset      220
Jacobi — Trudi determinants      158 182
James, G.D.      viii 53 63 66 182
Jeu de taquin      116 173
Jeu de taquin, backward slide      113
Jeu de taquin, forward slide      113
Jeu de taquin, modified backward slide      128
Jeu de taquin, modified forward slide      126
Join      192
k-decreasing subsequence      103
k-increasing subsequence      103
Knuth, D.E., algorithm      169—171
Knuth, D.E., dual algorithm      172
Knuth, D.E., dual equivalence      111
Knuth, D.E., dual equivalence, of tableaux      113
Knuth, D.E., dual relations      111
Knuth, D.E., dual relations, first kind      111
Knuth, D.E., dual relations, second kind      111
Knuth, D.E., equivalence      100
Knuth, D.E., equivalence, of tableaux      113
Knuth, D.E., relations      99 173
Kostka numbers      85
Lattice permutation      176
Lattice, path      158
Lattice, path, involution      161
Lattice, path, labelings      158—159
Lattice, path, sign      160
Lattice, path, weight      159—160
Lattice, poset      192
Lattice, Young      192
Lattice, Young, down operator      193
Lattice, Young, up operator      193
Least upper bound      192
Ledermann, W.      vii
Leg length of a hook      125
Leg length of a rim or skew hook      180
Leg of a hook      125
Lemma, dominance      see “Dominance lemma”
Lemma, Schur’s      22
Lemma, sign      64
Length      152
Length of a subsequence      98
Lexicographic order      59
Littlewood — Richardson, coefficient      175
Littlewood — Richardson, rule      177 183
Local rules      199
Locally finite      219
Log concave      189
Lower order ideal      85
MacDonald, I.G.      viii 164
Maschke’s theorem for matrices      17
Maschke’s theorem for modules      16
Matrix      4
Matrix, direct sum      13
Matrix, tensor product      25
Maximal element      69
Maximum element      69
Meet      192
Miniature tableau      118
Minimal element      69
Minimum element      69
Modified slide      126—128
Module      6
Module, complement      13
Module, cyclic      57
Module, direct sum      13
Module, endomorphism algebra      23
Module, equivalent      19
Module, generated by a vector      57
Module, homomorphism      18
Module, inequivalent      19
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте