Combinatorics of Coxeter Groups Hardcover - 2005 - 2005th Edition
by Anders Bjorner; Francesco Brenti
From the rear cover
Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups.
The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl 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.
Anders Bjrner is Professor of Mathematics at the Royal Institute of Technology in Stockholm, Sweden. Francesco Brenti is Professor of Mathematics at the University of Rome.
Details
- Title Combinatorics of Coxeter Groups
- Author Anders Bjorner; Francesco Brenti
- Binding Hardcover
- Edition number 2005th
- Edition 2005
- Pages 366
- Volumes 1
- Language ENG
- Publisher Springer, ^^ in Stock: we Ship at Once fr. IL USA;
- Date 2005-05-31
- Features Bibliography
- ISBN 9783540442387 / 3540442383
- Weight 1.57 lbs (0.71 kg)
- Dimensions 9.21 x 6.14 x 0.88 in (23.39 x 15.60 x 2.24 cm)
- Library of Congress Catalog Number 2005923334
- Dewey Decimal Code 512.2
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Combinatorics of Coxeter Groups (Graduate Texts in Mathematics, 231)
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