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OverviewFinite 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. Full Product DetailsAuthor: Meinolf Geck (Department of Mathematics, Department of Mathematics, University of Lyon, France) , Götz Pfeiffer (Department of Mathematics, Department of Mathematics, National University of Ireland, Galway)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 21 Dimensions: Width: 16.40cm , Height: 3.10cm , Length: 24.20cm Weight: 0.852kg ISBN: 9780198502500ISBN 10: 0198502508 Pages: 461 Publication Date: 10 August 2000 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1 Cartan matrices and finite Coxeter groups; 2 Parabolic subgroups; 3 Conjugacy classes and special elements; 4 The Braid monoid and good elements; 5 Irreducible characters of finite Coxeter groups; 6 Parabolic subgroups and induced characters; 7 Representation theory of symmetric algebras; 8 Iwahori-Hecke algebras; 9 Characters of Iwahori-Hecke algebras; 10 Character values in classical types; 11 Computing character values and generic degrees; Appendix: Tables for the exceptional types; ReferencesReviews<br> The contents of the book are well organized ... the chapters can be read independently of each other. --Mathematical Reviews<p><br> 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 * The contents of the book are well organized ... the chapters can be read independently of each other. --Mathematical Reviews<br> It will be a valuable reference for many years to come. * Bulletin of the LMS * Written in an engaging and intelligible style ... well structured and clearly printed. * EMS * 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 foer Mathematick * 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 * Author InformationMeinolf Geck, Professor of Mathematics at the University of Lyon, France. Götz Pfeiffer, Lecturer in Mathematics, National University of Ireland at Galway, Ireland Tab Content 6Author Website:Countries AvailableAll regions |
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