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Coxeter Matroids

Name: Coxeter Matroids
Brand: Springer, Berlin
SKU: 06795223
Price: 53.79 EUR
Availability: InStock
Author: Alexandre V. Borovik
ISBN: 9781461274001

Alexandre V. Borovik

Izrail M. Gelfand

Neil White

Language

English

Book Paperback

Libristo code: 06795223

Publishers Springer, Berlin, December 2012

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geomet... Full description

Libristo code: 06795223

132 b

53.79 € VAT included

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Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work 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 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.