扫一扫
关注中图网
官方微博
本类五星书更多>
-
>
宇宙、量子和人类心灵
-
>
气候文明史
-
>
南极100天
-
>
考研数学专题练1200题
-
>
希格斯:“上帝粒子”的发明与发现
-
>
神农架叠层石:10多亿年前远古海洋微生物建造的大堡礁
-
>
声音简史
对称群的表示论(英文) 版权信息
- ISBN:9787576706192
- 条形码:9787576706192 ; 978-7-5767-0619-2
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 所属分类:>
对称群的表示论(英文) 内容简介
本书共分为四个部分:**部分:对称群与对称函数。第二部分:赫克代数及其表示。第三部分:划分的可观测。第四部分:随机杨氏图的模型。
对称群的表示论(英文) 目录
preface
Ⅰ Symmetric groups and symmetric functions
1 Representations of finite groups and semisimple algebras
1.1 Finite groups and their representations
1.2 Characters and constructions on representations
1.3 The non-commutative Fourier transform
1.4 Semisimple algebras and modules
1.5 The double commutant theory
2 Symmetric functions and the Frobenius-Schur isomorphism
2.1 Conjugacy classes of the symmetric groups
2.2 The five bases of the algebra of symmetric functions
2.3 The structure of graded self-adjoint Hopf algebra
2.4 The Frobenius-Schur isomorphism
2.5 The Schur-Weyl duality
3 Combinatorics of partitions and tableaux
3.1 Pieri rules and Murnaghan-Nakayama formula
3.2 The Robinson-Schensted-Knuth algorithm
3.3 Construction of the irreducible representations
3.4 The hook-length formula
Ⅱ Hecke algebras and their representations
4 Hecke algebras and the Brauer-Cartan theory
4.1 Coxeter presentation of symmetric groups
4.2 Representation theory of algebras
4.3 Brauer-Cartan deformation theory
4.4 Structure of generic and specialized Hecke algebras
4.5 Polynomial construction of the q-Specht modules
5 Characters and dualities for Hecke algebras
5.1 Quantum groups and their Hopf algebra structure
5.2 Representation theory of the quantum groups
5.3 Jimbo-Schur-Weyl duality
5.4 Iwahori-Hecke duality
5.5 Hall-Littlewood polynomials and characters of Hecke algebras
6 Representations of the Hecke algebras specialized at q = 0
6.1 Non-commutative symmetric functions
6.2 Quasi-symmetric functions
6.3 The Hecke-Frobenius-Schur isomorphisms
Ⅲ Observables of partitions
7 The Ivanov-Kerov algebra of observables
7.1 The algebra of partial permutations
7.2 Coordinates of Young diagrams and their moments
7.3 Change of basis in the algebra of observables
7.4 Observables and topology of Young diagrams
8 The Jucys-Murphy elements
8.1 The Gelfand-Tsetlin subalgebra of the symmetric group algebra
8.2 Jucys-Murphy elements acting on the Gelfand-Tsetlin basis . .
8.3 Observables as symmetric functions of the contents
9 Symmetric groups and free probability
9.1 Introduction to free probability
9.2 Free cumulants of Young diagrams
9.3 Transition measures and Jucys-Murphy elements
9.4 The algebra of admissible set partitions
10 The Stanley-Feray formula for characters and Kerov polynomials
10.1 New observables of Young diagrams
10.2 The Stanley-Feray formula for characters of symmetric groups
10.3 Combinatorics of the Kerov polynomials
Ⅳ Models of random Young diagrams
11 Representations of the infinite symmetric group
11.1 Harmonic analysis on the Young graph and extremal characters
11.2 The bi-infinite symmetric group and the Olshanski semigroup
11.3 Classification of the admissible representations
11.4 Spherical representations and the Gelfand-Naimark-Segal cons-truction
12 Asymptoties of central measures
12.1 Free quasi-symmetric functions
12.2 Combinatorics of central measures
12.3 Gaussian behavior of the observables
13 Asymptotics of Plancherel and Schur-Weyl measures
13.1 The Plancherel and Schur-Weyl models
13.2 Limit shapes of large random Young diagrams
13.3 Kerov's central limit theorem for characters
Appendix
Appendix A Representation theory of semisimple Lie algebras
A.1 Nilpotent, solvable and semisimple algebras
A.2 Root system of a semisimple complex algebra
A.3 The highest weight theory
References
Index
编辑手记
展开全部
对称群的表示论(英文) 作者简介
皮埃尔-洛伊克·梅利奥特,法国数学家,巴黎第十一大学教授。
书友推荐
- >
上帝之肋:男人的真实旅程
上帝之肋:男人的真实旅程
¥20.2¥35.0 - >
龙榆生:词曲概论/大家小书
龙榆生:词曲概论/大家小书
¥8.7¥24.0 - >
朝闻道
朝闻道
¥14.8¥23.8 - >
李白与唐代文化
李白与唐代文化
¥9.9¥29.8 - >
经典常谈
经典常谈
¥16.7¥39.8 - >
史学评论
史学评论
¥14.4¥42.0 - >
大红狗在马戏团-大红狗克里弗-助人
大红狗在马戏团-大红狗克里弗-助人
¥5.2¥10.0 - >
企鹅口袋书系列·伟大的思想20:论自然选择(英汉双语)
企鹅口袋书系列·伟大的思想20:论自然选择(英汉双语)
¥6.3¥14.0
本类畅销
-
数学的魅力;初等数学概念演绎
¥9.4¥22 -
普林斯顿微积分读本-(修订版)
¥62.4¥99 -
高等几何
¥8.8¥20 -
离散数学(第六版)
¥43.4¥49.9 -
偏微分方程
¥20.9¥33.7 -
数学·统计学系列二维.三维欧式几何的对偶原理
¥96.6¥138
浏览历史
控制系统的数字仿真及计算机辅助设计-第二版
¥9.0¥28.0现代景观设计
¥44.4¥62.0罗生门
¥10.0¥36.0创新基础与创新思维
¥33.4¥59.0企业关键财务指标设定
¥14.8¥32.0