Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

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 *

Meinolf Geck, Professor of Mathematics at the University of Lyon, France. Götz Pfeiffer, Lecturer in Mathematics, National University of Ireland at Galway, Ireland