---

＜電子ブック＞
Combinatorics of Coxeter Groups / by Anders Bjorner, Francesco Brenti
(Graduate Texts in Mathematics. ISSN:21975612 ; 231)

版	1st ed. 2005.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	XIV, 366 p : online resource
著者標目	*Bjorner, Anders author Brenti, Francesco author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Group theory LCSH:Discrete mathematics FREE:Topological Groups and Lie Groups FREE:Group Theory and Generalizations FREE:Discrete Mathematics
一般注記	I -- The basics -- Bruhat order -- Weak order and reduced words -- Roots, games, and automata -- II -- Kazhdan-Lusztig and R-polynomials -- Kazhdan-Lusztig representations -- Enumeration -- Combinatorial Descriptions 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 Björner is Professor of Mathematics at the Royal Institute of Technology in Stockholm, Sweden. Francesco Brenti is Professor of Mathematics at the University of Rome HTTP:URL=https://doi.org/10.1007/3-540-27596-7

 類似資料