Reflection Groups and Coxeter Groups (Cambridge Studies in - download pdf or read online

By James E. Humphreys

This graduate textbook provides a concrete and updated creation to the speculation of Coxeter teams. The booklet is self-contained, making it compatible both for classes and seminars or for self-study. the 1st half is dedicated to constructing concrete examples. Finite mirrored image teams performing on Euclidean areas are mentioned, and the 1st half ends with the development of the affine Weyl teams, a category of Coxeter teams that performs an immense position in Lie idea. the second one half (which is logically autonomous of, yet encouraged by way of, the 1st) develops from scratch the houses of Coxeter teams quite often, together with the Bruhat ordering and the seminal paintings of Kazhdan and Lusztig on representations of Hecke algebras linked to Coxeter teams is brought. ultimately a couple of fascinating complementary themes in addition to connections with Lie concept are sketched. The e-book concludes with an intensive bibliography on Coxeter teams and their applications.

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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics) by James E. Humphreys

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