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Coxeter Matroids

Coxeter Matroids

Hardcover

Series: Progress in Mathematics, Book 216

Medical ReferenceAlgebraGeometry

ISBN10: 0817637648
ISBN13: 9780817637644
Publisher: Springer Nature
Published: Jul 11 2003
Pages: 266
Weight: 1.20
Height: 0.74 Width: 6.40 Depth: 9.50
Language: English

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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