Coxeter Matroids

Name: Coxeter Matroids
SKU: 20761900
Price: 138.99 AUD
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Paperback / softback

Series:

Progress in Mathematics

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Description

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained text provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group. Key topics and features: * Systematic, clearly written exposition with ample references to current research * Matroids are examined in terms of symmetric and finite reflection groups * Finite reflection groups and Coxeter groups are developed from scratch * The Gelfand-Serganova theorem is presented, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties * Matroid representations in buildings and combinatorial flag varieties are studied in the final chapter * Many exercises throughout * Excellent bibliography and index Accessible to graduate students and research mathematicians alike, "Coxeter Matroids" can be used as an introductory survey, a graduate course text, or a reference volume.

Release date Australia

September 16th, 2011

Author

Audience

Professional & Vocational

Contributor

Illustrated by A. Borovik

Edition

Softcover reprint of the original 1st ed. 2003

Illustrations

XXII, 266 p.

Pages

266

Series

Progress in Mathematics

Dimensions

156x234x15

ISBN-13

9781461274001

Product ID

20761900

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