Combinatorics Of Coxeter Groups - Couverture rigide

Bjorner, Anders; Brenti, Francesco

Couverture rigide

ISBN 10 : 3540442383 ISBN 13 : 9783540442387

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2005

Synopsis

This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. The authors have included exposition along with a rich selection of exercises.

A propos du livre

Revue de presse

"Coxeter groups are groups which are generated by involutions. ... are written in a very expository manner, and serve as a very nice introduction to the subject which a graduate student would be able to follow. ... chapters are self-contained, and the book has several appendices to help the reader who does not have the full background." --Darren Glass, MathDL, May, 2005

"The book under review presents the combinatorial aspects in the theory of Coxeter groups. ... Plenty of exercises are provided in each chapter, ranging from easier ones to more difficult ones and open problems. ... More than 500 references related to the above topics are attached at the end of the book. Thus the book is suitable both as a graduate textbook (particularly Part I) and as a research monograph (particularly Part II) for the combinatorics of Coxeter groups." --Jian-yi Shi, Mathematical Reviews, Issue 2006 d

"This is the first one to focus mainly on the combinatorial aspects of Coxeter groups. ... A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers." --L'Enseignement Mathématique, Vol. 51 (3-4), 2005

Présentation de l'éditeur

Includes a rich variety of exercises to accompany the exposition of Coxeter groups

Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 3540442383
• ISBN 13: 9783540442387
• Reliure: Relié
• Nombre de pages: 380
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne