Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Björner, Anders
Brenti, Francesco
Titre(s) : Combinatorics of Coxeter Groups [Texte électronique] / by Anders Bjorner, Francesco Brenti
Publication : Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books, 2005
Description matérielle : 1 online resource
Collection : Graduate Texts in Mathematics ; 231
Note(s) : 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
Sujet(s) : Groupes de Coxeter
Groupes, Théorie combinatoire des
Indice(s) Dewey :
512.55 (23e éd.) = Algèbres et groupes topologiques et connexes ; 512.482 (23e éd.) = Algèbres et groupes de Lie ; 512.2 (23e éd.) = Groupes et théorie des groupes (mathématiques)
Identifiants, prix et caractéristiques : ISBN 9783540275961
Identifiant de la notice : ark:/12148/cb446846877
Notice n° :
FRBNF44684687
(notice reprise d'un réservoir extérieur)
