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.
€57.77
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भाषा अंग्रेज़ी ● स्वरूप PDF ● ISBN 9781461220664 ● प्रकाशक Birkhauser Boston ● प्रकाशित 2012 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 4755462 ● कॉपी सुरक्षा Adobe DRM
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