Résumé
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 Hag 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.
Contents
- Preface
- Matroids and flag matroids
- Matroids and semimodular lattices
- Symplectic matroids
- Lagrangian Matroids
- Reflexion groups and Coxeter groups
- Coxeter Matroids
- Buildings
- References
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Birkhäuser |
| Auteur(s) | I.M. Gelfand, Neil White, Alexandre Borovik |
| Parution | 07/08/2003 |
| Nb. de pages | 266 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 545g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780817637644 |
| ISBN13 | 978-0-8176-3764-4 |
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