Description: In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The first part is devoted to establishing concrete examples; the author begins by developing the most important facts about finite reflection groups and related geometry, and showing that such groups have a Coxeter representation. In the next chapter these groups are classified by Coxeter diagrams, and actual realizations of these groups are discussed. Chapter 3 discusses the polynomial invariants of finite reflection groups, and the first part ends with a description of the affine Weyl groups and the way they arise in Lie theory. The second part (which is logically independent of, but motivated by, the first) starts by developing the properties of the Coxeter groups. Chapter 6 shows how earlier examples and others fit into the general classification of Coxeter diagrams. Chapter 7 is based on the very important work of Kazhdan and Lusztig and the last chapter presents a number of miscellaneous topics of a combinatorial nature.
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EAN: 9780521436137
UPC: 9780521436137
ISBN: 9780521436137
MPN: N/A
Book Title: Reflection Groups and Coxeter Groups (Cambridge St
Number of Pages: 220 Pages
Publication Name: Reflection Groups and Coxeter Groups
Language: English
Publisher: Cambridge University Press
Subject: Group Theory, Algebra / General
Item Height: 0.6 in
Publication Year: 1992
Type: Textbook
Item Weight: 12.3 Oz
Item Length: 9 in
Subject Area: Mathematics
Author: James E. Humphreys
Series: Cambridge Studies in Advanced Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
