点击选择搜索分类
首页 - 传记- 正文
☆☆☆☆☆
||
[美] 克里斯(Chiss N.) 著
出版社: 世界图书出版公司 ISBN:9787510040573 版次:1 商品编码:10914315 包装:平装 外文名称:Representation Theory and Complex Geometry 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:495 正文语种:英文
chapter 0. introduction
chapter 1. symplectic geometry
1.1. symplectic manifolds
1.2. poisson algebras
1.3. poisson structures arising from noncommutative algebras
1.4. the moment map
1.5. coisotropic subvarieties
1.6. lagrangian families
chapter 2. mosaic
2.1. hilbert's nullste!lensatz
2.2. atone algebraic varieties
2.3. the deformation construction
2.4. c*-actions on a projective variety
2.5. fixed point reduction
2.6. borel-moore homology
2.7. convolution in borel-moore homology
chapter 3. complex semisimple groups
3.1. semisimple lie algebras and flag varieties
3.2. nilpotent cone
3.3. the steinberg variety
3.4. lagrangian construction of the weyl group
3.5. geometric analysis of h(z)-action
3.6. irreducible representations of we 1 groups
3.7. applications of the jacobson-morozov theorem
chapter 4. springer theory for u(sln)
4.1. geometric construction of the enveloping algebra u(sin(c))
4.2. finite-dimensional simple sln(c)-modules
4.3. proof of the main theorem
4.4. stabilization
chapter 5. equivariant k-theory
5.1. equivariant resolutions
5.2. basic k-theoretic constructions
5.3. specialization in equivariant k-theory
5.4. the koszul complex and the thom isomorphism
5.5. cellular fibration lemma
5.6. the k/inneth formula
5.7. projective bundle theorem and beilinson resolution
5.8. the chern character
5.9. the dimension filtration and "devissage"
5.10. the localization theorem
5.11. functoriality
chapter 6. flag varieties, k-theory, and harmonic polynomials
6.1. equivariant k-theory of the flag variety
6.2. equivariant k-theory of the steinberg variety
6.3. harmonic polynomials
6.4. w-harmonic polynomials and flag varieties
6.5. orbital varieties
6.6. the equivariant hilbert polynomial
6.7. kostant's theorem on polynomial rings
chapter 7. hecke algebras and k-theory
7.1. affine weyl groups and hecke algebras
7.2. main theorems
7.3. case q = h deformation argument
7.4. hilbert polynomials and orbital varieties
7.5. the hecke algebra for sl2
7.6. pwof of the main theorem
chapter 8. representations of convolution algebras
8.1. standard modules
8.2. character formula for standard modules
8.3. constructible complexes
8.4. perverse sheaves and the classification theorem
8.5. the contravariant form
8.6. shed-theoretic analysis of the convolution algebra
8.7. projective modules over convolution algebra
8.8. a non-vanishing result
8.9. semi-small maps
bibliography
表示论和复几何 [Representation Theory and Complex Geometry] 电子书 下载 mobi epub pdf txt
表示论和复几何 [Representation Theory and Complex Geometry]-so88
表示论和复几何 [Representation Theory and Complex Geometry] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 克里斯(Chiss N.) 著
出版社: 世界图书出版公司 ISBN:9787510040573 版次:1 商品编码:10914315 包装:平装 外文名称:Representation Theory and Complex Geometry 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:495 正文语种:英文
内容简介
《表示论和复几何》是一部经典的从集合角度讲述表示论的高等教程。从几何的角度研究表示论,真可谓“千呼万呼始出来”,尤其是自从1980年D-模型和1990年量子群的箭图,此方法显得更为迫切。表示论的发展顺应科学发展趋势,并且都成功地应用于好多领域,如量子群、仿射李群和量子场论。《表示论和复几何》的前半部分是架起李理论标准知识初学者和数学工作者所需要的广阔背景知识之间的桥梁,为后半部分的学习做好充分的准备。内页插图
目录
prefacechapter 0. introduction
chapter 1. symplectic geometry
1.1. symplectic manifolds
1.2. poisson algebras
1.3. poisson structures arising from noncommutative algebras
1.4. the moment map
1.5. coisotropic subvarieties
1.6. lagrangian families
chapter 2. mosaic
2.1. hilbert's nullste!lensatz
2.2. atone algebraic varieties
2.3. the deformation construction
2.4. c*-actions on a projective variety
2.5. fixed point reduction
2.6. borel-moore homology
2.7. convolution in borel-moore homology
chapter 3. complex semisimple groups
3.1. semisimple lie algebras and flag varieties
3.2. nilpotent cone
3.3. the steinberg variety
3.4. lagrangian construction of the weyl group
3.5. geometric analysis of h(z)-action
3.6. irreducible representations of we 1 groups
3.7. applications of the jacobson-morozov theorem
chapter 4. springer theory for u(sln)
4.1. geometric construction of the enveloping algebra u(sin(c))
4.2. finite-dimensional simple sln(c)-modules
4.3. proof of the main theorem
4.4. stabilization
chapter 5. equivariant k-theory
5.1. equivariant resolutions
5.2. basic k-theoretic constructions
5.3. specialization in equivariant k-theory
5.4. the koszul complex and the thom isomorphism
5.5. cellular fibration lemma
5.6. the k/inneth formula
5.7. projective bundle theorem and beilinson resolution
5.8. the chern character
5.9. the dimension filtration and "devissage"
5.10. the localization theorem
5.11. functoriality
chapter 6. flag varieties, k-theory, and harmonic polynomials
6.1. equivariant k-theory of the flag variety
6.2. equivariant k-theory of the steinberg variety
6.3. harmonic polynomials
6.4. w-harmonic polynomials and flag varieties
6.5. orbital varieties
6.6. the equivariant hilbert polynomial
6.7. kostant's theorem on polynomial rings
chapter 7. hecke algebras and k-theory
7.1. affine weyl groups and hecke algebras
7.2. main theorems
7.3. case q = h deformation argument
7.4. hilbert polynomials and orbital varieties
7.5. the hecke algebra for sl2
7.6. pwof of the main theorem
chapter 8. representations of convolution algebras
8.1. standard modules
8.2. character formula for standard modules
8.3. constructible complexes
8.4. perverse sheaves and the classification theorem
8.5. the contravariant form
8.6. shed-theoretic analysis of the convolution algebra
8.7. projective modules over convolution algebra
8.8. a non-vanishing result
8.9. semi-small maps
bibliography
前言/序言
表示论和复几何 [Representation Theory and Complex Geometry] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 揭开传染病神秘面纱 巴斯德的故事 黄健,郭丽婧,管成学,王渝生
- 军体世界杂志2018年1-7月7本包邮 少儿军事杂志世界百科趣味知识 中小学生军事文摘科普
- BF-昆虫记-世界文学名著典藏-全译插图本-(法)法布尔 长江文艺出版社 97875354
- 意林小淑女(原意林小MM小小姐) 杂志 全年订阅青春文学2018年九月起订杂志铺
- 我的第一本科学漫画书 青少年版全套4册 幼儿搞笑图书科普6-9-12岁小学生 少儿百科全
- 【单本散拍】植物大战僵尸2武器秘密之你问我答科学漫画32本极地与冰川卷医学与疾病电脑与网络 世界之最卷
- 三只小猪-经典童话涂色游戏书
- 装点《红楼梦》——揭秘八七版电视剧《红楼梦》永恒之美
- 满58包邮 河南宝天曼自然保护区科学考察集 9787534989674 叶永忠 刘世荣
- 娃娃画报快乐园 2018年7月起订 共12期 杂志订阅 亲子共读 幼儿阅读 杂志铺每月快递
- WL-古生物图鉴 翼龙:目前发现的部分翼龙目化石骨骼与生物形态复原图-杨杨,赵闯 绘,苗德
- 中国儿童画报红袋鼠故事会(小学版) 杂志订阅 2018年8月号单期预订 杂志铺
- 正版刚不敢问希区柯克的,问S先生吧:论一部电影的科学修养9787302349815科学松鼠
- 实用文摘小学版 杂志铺杂志订阅 小学生新课标学习阅读写作辅导 2018年8月起订1年12期
- {RT}VEX EDR机器人创客教程-覃祖军 机械工业出版社 9787111577553