Coxeter Matroids (Progress in Mathematics)

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Coxeter Matroids (Progress in Mathematics) image
ISBN-10:

1461274001

ISBN-13:

9781461274001

Edition: 2003
Released: Sep 16, 2011
Publisher: Birkhauser
Format: Paperback, 288 pages

Description:

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory.  In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.

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