Coxeter Matroids - Alexandre V Borovik,Neil White,Israel M Gelfand
-25% koodilla BOOKS
Toimitus 22-28 arkipäivässä
30 päivän palautusoikeus
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* Ma ... Täydellinen kuvaus
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Kuvaus
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.
Lisätietoja
| Kirjoittaja | Alexandre V Borovik, Neil White, Israel M Gelfand |
|---|---|
| Julkaisija | Birkhauser Boston |
| Julkaisuvuosi | 2003 |
| Kannen tyyppi | Kovakantinen |
| EAN | 9780817637644 |