Reflection Groups and Coxeter Groups

 ( Book Product ) 

In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups

• Reflection Groups And Coxeter Groups available on May 02 2018 from Indigo for 51.95
  
• ISBN bar code 9780521436137 ξ3 registered July 20 2016
  
• ISBN bar code 9780521436137 ξ2 registered February 15 2015
  
• ISBN bar code 9780521436137 ξ1 registered September 21 2015
  
• Product category is Book

• Sku # 978052143613
  

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.

^ James E. Humphreys (1992). Reflection Groups and Coxeter Groups ISBN 9780521436137 (revised Oct 2015)
^ James E. HumphreysCambridge Studies in Advanced Mathematics Ser.: Reflection Groups and Coxeter Groups 29 by James E. Humphreys (1992, Paperback) ISBN 9780521436137 (revised Dec 2015)
^ Reflection Groups And Coxeter Groups Indigo. ISBN 9780521436137 (revised May 2018)