Product Description

Finite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, the theory of Lie algebras and algebraic groups. The corresponding Iwahori-Hecke algebras are obtained by a certain deformation process. They have applications in the representation theory of groups of Lie type and the theory of knots and links. The aim of this book is to develop the theory of conjugacy classes and irreducible characters, both for finite Coxeter groups and the associated Iwahori-Hecke algebras. The topics range from classical results to more recent developments and are treated in a coherent and self-contained way. This is the first book which develops these subjects both from a theoretical and an algorithmic point of view in a systematic way. All types of finite Coxeter groups are covered.

Product Details

• Amazon Sales Rank: #964570 in Books
• Published on: 2000-08-10
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 464 pages

Bulletin of the LMS
" ... it will be a valuable reference for many years to come."

Review
An important book ... The authors make full use of recent advances ... The book is both a valuable resource for the expert and good starting point for the beginning researcher in this field ... this is a very fine book which belongs on the shelves of anyone who is interested in the representation theory of Coxeter groups, Iwahori-Hecke algebras and, more generally, the groups of Lie type. (Zentralblatt MATH )

What makes the book especially valuable are the facts that the authors develop the various necessary theories nearly from the scratch ... and that they include the algorithmic theory as well. (Monatshefte för Mathematick )

Written in an engaging and intelligible style ... well structured and clearly printed. (EMS )

It will be a valuable reference for many years to come. (Bulletin of the LMS )

EMS
"Written in an engaging and intelligible style ... well structured and clearly printed."