Coxeter Matroids

Coxeter Matroids

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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, al...