Coxeter Matroids: 216 (Progress in Mathematics, 216)
Language: English
Published by Birkh?user, 2003
- Hardcover
- New

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AbeBooks seller since February 27, 2001
Condition: New
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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. Illustrator(s): Gelfand, Israel M.; Borovik, Alexandre V. Series: Progress in Mathematics. Num Pages: 266 pages, biography. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 620. . 2003. 2003rd Edition. hardcover. . . . .
Seller Inventory # V9780817637644
- Title
- Coxeter Matroids: 216 (Progress in Mathematics, 216)
- Author
- Borovik, Alexandre V.
- Publisher
- Birkh?user
- Publication year
- 2003
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0817637648
- ISBN 13
- 9780817637644
- Illustrator
- Borovik, A.
- Series
- Book 43 of 170: Progress in Mathematics
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, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties
* Matroid representations in buildings and combinatorial flag varieties are studied in the final chapter
* Many exercises throughout
* Excellent bibliography and index
Accessible to graduate students and research mathematicians alike, "Coxeter Matroids" can be used as an introductory survey, a graduate course text, or a reference volume.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties
* Matroid representations in buildings and combinatorial flag varieties are studied in the final chapter
* Many exercises throughout
* Excellent bibliography and index
Accessible to graduate students and research mathematicians alike, "Coxeter Matroids" can be used as an introductory survey, a graduate course text, or a reference volume.
"About the title" may belong to another edition of this title.
Kennys Bookshop and Art Galleries Ltd.
Galway, GY, Ireland
AbeBooks seller since February 27, 2001
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