Coxeter Matroids

di Alexandre V. Borovik (Autore)

Israel M. Gelfand (Autore)

Neil White (Autore)

vedi tutti

Springer-Verlag New York Inc., 2011

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.

• Autore: Alexandre V. Borovik, Israel M. Gelfand, Neil White
• Illustratore: A. Borovik
• Editore: Springer-Verlag New York Inc.
• Collana: Progress in Mathematics
• Anno: 2011
• Rilegatura: Paperback / softback
• Pagine: 266 p.
• Dimensioni: 235 x 155 mm
• EAN: 9781461274001

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