Combinatorics of Coxeter Groups

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...

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Bibliographic Details
Main Authors: Bjorner, Anders, Brenti, Francesco (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2005, 2005
Edition:1st ed. 2005
Series:Graduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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