Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) pdf epub mobi txt 電子書 下載2025
- 數學
- 代數
- 幾何
- Lie
- Coxeter
- 計算機科學
- 其餘代數7
- groups
This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.
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非常經典的錶示論教材，主要講反射群與抽象Coxeter群，敘述精煉難度適中，可惜網上電子版最後少瞭兩章。
评分非常經典的錶示論教材，主要講反射群與抽象Coxeter群，敘述精煉難度適中，可惜網上電子版最後少瞭兩章。
评分Coxeter groups和Kazhdan-Lusztig. 感覺他寫作水平比寫GTM9的時候高瞭不少……
评分Coxeter groups和Kazhdan-Lusztig. 感覺他寫作水平比寫GTM9的時候高瞭不少……
评分非常經典的錶示論教材，主要講反射群與抽象Coxeter群，敘述精煉難度適中，可惜網上電子版最後少瞭兩章。
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