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Item Details
| Title:
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COXETER MATROIDS
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| By: |
Alexandre V. Borovik, Neil White, Israel M. Gelfand |
| Format: |
Hardback |
| List price:
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£89.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0817637648 |
| ISBN 13: |
9780817637644 |
| Publisher: |
BIRKHAUSER BOSTON INC |
| Pub. date: |
11 July, 2003 |
| Series: |
Progress in Mathematics v. 216 |
| Pages: |
266 |
| Description: |
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This work provides an interdisciplinary treatment of their theory. It examines matroids in terms of symmetric and finite reflection groups. It also discusses matroid representations and combinatorial flag varieties. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Birkhauser Boston Inc |
| Returns: |
Returnable |
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