Combinatorics of Coxeter Groups

2005
ISBN: 978-3-540-44238-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 366 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1570 g

Reihe: Graduate Texts in Mathematics

This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. The authors have included exposition along with a rich selection of exercises.

Zielgruppe

Graduate

Autoren/Hrsg.

Brenti, Francesco

Bjorner, Anders

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.