Format:
Online-Ressource (XXII, 264p. 65 illus, online resource)
ISBN:
9781461220664
Series Statement:
Progress in Mathematics 216
Content:
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
Additional Edition:
ISBN 9781461274001
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-146-127-400-1
Language:
English
DOI:
10.1007/978-1-4612-2066-4
URL:
Volltext
(lizenzpflichtig)
Author information:
Gelʹfand, Izrailʹ M. 1913-2009
