Coxeter Matroids: 216 - Rilegato

Borovik, Alexandre V.; Gelfand, Izrail M.

Rilegato

ISBN 10: 0817637648 ISBN 13: 9780817637644

Casa editrice: Springer Basel AG, 2003

Riassunto

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 indexAccessible to graduate students and research mathematicians alike, "Coxeter Matroids" can be used as an introductory survey, a graduate course text, or a reference volume.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer Basel AG
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0817637648
• ISBN 13: 9780817637644
• Rilegatura: Copertina rigida
• Disegnatore: Borovik A.
• Numero di pagine: 294
• Contatto del produttore: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Germania