Combinatorics of Coxeter Groups

Name: Combinatorics of Coxeter Groups
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642079221
Price: 82.29 EUR
Availability: InStock

Автор: Anders Bjorner, Francesco Brenti

Език:

Корици: С меки корици

Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Наличност: Външен склад

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82.29 € 160.94 лв

Includes a rich variety of exercises to accompany the exposition of Coxeter groups §Coxeter groups h...

Информация за книгата

Автор

Anders Bjorner, Francesco Brenti

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

366

EAN

9783642079221

ISBN

3642079229

Enbook ID

01653005

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

588

Размери

233 x 156 x 25

Пълно описание

Includes a rich variety of exercises to accompany the exposition of Coxeter groups §Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groupsCoxeter 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 cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups.§The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers.§Anders Björner is Professor of Mathematics at the Royal Institute of Technology in Stockholm, Sweden. Francesco Brenti is Professor of Mathematics at the University of Rome.

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