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Combinatorics of Coxeter Groups
Langbeschreibung
Includes a rich variety of exercises to accompany the exposition of Coxeter groupsCoxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups
Hauptbeschreibung
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.
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.
ISBN-13:
9783540442387
Veröffentl:
2005
Erscheinungsdatum:
31.05.2005
Seiten:
384
Autor:
Francesco Brenti
Gewicht:
740 g
Format:
241x160x26 mm
Serie:
231, Graduate Texts in Mathematics
Sprache:
Englisch
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