Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 电子书

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发表于2024-06-28

Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:James E. Humphreys

出品人:

页数:220

译者:

出版时间:1992-10-30

价格:USD 43.00

装帧:Paperback

isbn号码:9780521436137

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签: 数学代数几何 Lie Coxeter 计算机科学其余代数7 groups

Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 电子书图书描述

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.

Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 电子书

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