Combinatorics of Coxeter Groups

• Main Authors: Bjorner, Anders (Author), Brenti, Francesco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Graduate Texts in Mathematics, 231
• Subjects: Mathematics.; Group theory.; Topological groups.; Lie groups.; Combinatorics.; Topological Groups, Lie Groups.; Group Theory and Generalizations.

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...

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.