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Bggolierepresentations Of Semisimple Lie Algebras In The Bgg Category O 1st Edition James E Humphreys

  • SKU: BELL-73377060
Bggolierepresentations Of Semisimple Lie Algebras In The Bgg Category O 1st Edition James E Humphreys
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Bggolierepresentations Of Semisimple Lie Algebras In The Bgg Category O 1st Edition James E Humphreys instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 66.86 MB
Pages: 289
Author: (美)詹姆斯·汉弗莱斯(James E. Humphreys)
ISBN: 9787040468984, 7040468980
Language: English
Year: 2018
Edition: 1

Product desciption

Bggolierepresentations Of Semisimple Lie Algebras In The Bgg Category O 1st Edition James E Humphreys by (美)詹姆斯·汉弗莱斯(james E. Humphreys) 9787040468984, 7040468980 instant download after payment.

这是第一本介绍极其重要的Kazhdan-Lusztig猜想(1979 年)有关工作的书,该猜想是关于C上半单Lie代数g的最高权单模的特征标的。这个架构是由Bernstein-Gelfand-Gelfand (BGG) 引进的模范畴O,它包括了g的所有最高权模,如Verma模和有限维单模。这个范畴的类比在表示论的许多领城中已颇具影响。

第1部分可用作自学或中级研究生课程一个学期的较材,附有大量的习题和例题。主要的预备知识是要求熟悉g的结构理论。书中讲述了范畴O中的基本技术,如BGG互反和Jantzen平移函子,最后以Kazhdan-Lusztig猜想证明的一个概述(归功于Beilinson-Bernstein和Brylinski-Kashiwara) 结束。完整证明超出了本书范围,它需要深刻的几何方法:D-模和旗簇的反常层。

第Ⅱ部分介绍了当前研究中重要的相关专题:抛物范畴O、射影函子、斜模、扭变和完备函子,以及 Beilinson-Ginzburg-Soergel 的 Koszul 对偶定理。

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