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Birkhauser Coxeter Matroids: 216 (Progress in Mathematics, 216)
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Description
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.
Key Features
Used Book in Good Condition
Product Specifications
- Brand
- Birkhauser
- Format
- hardcover
- ASIN
- 0817637648
- Domain
- Amazon UK
- Release Date
- 11 July 2003
- Listed Since
- 16 December 2006
Barcode
No barcode data available
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