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Combinatorics of coxeter groups
Autor: Björner, Anders
Rok: c2005
ISBN: 9783540442387
OKCZID: 110220195
Citace (dle ČSN ISO 690):
BJÖRNER, Anders. Combinatorics of coxeter groups. New York: Springer, c2005. xii, 363 s. Graduate texts in mathematics, 231.
Anotace
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. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this book will be presenting the combinatorial aspects of Coxeter groups. The authors have included an exposition of Coxeter groups along with a rich variety of exercises, ranging from easy to very difficult, giving the book the unique character of serving as both a textbook and a monograph.