Coxeter Matroids (Progress in Mathematics, 216)
ISBN-13:
9781461274001
ISBN-10:
1461274001
Edition:
Softcover reprint of the original 1st ed. 2003
Author:
Israel M. Gelfand, Neil White, Alexandre V. Borovik
Publication date:
2011
Publisher:
Birkhäuser
Format:
Paperback
288 pages
FREE US shipping
Book details
ISBN-13:
9781461274001
ISBN-10:
1461274001
Edition:
Softcover reprint of the original 1st ed. 2003
Author:
Israel M. Gelfand, Neil White, Alexandre V. Borovik
Publication date:
2011
Publisher:
Birkhäuser
Format:
Paperback
288 pages
Summary
Coxeter Matroids (Progress in Mathematics, 216) (ISBN-13: 9781461274001 and ISBN-10: 1461274001), written by authors
Israel M. Gelfand, Neil White, Alexandre V. Borovik, was published by Birkhäuser in 2011.
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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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