'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 LMSFinite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, Lie algebras or theory of knots and links. This is the first book which develops the character theory of finite Coxeter groups and Iwahori-Hecke algebras in a systematic way, ranging from classical results to recent developments.
