| 书目名称 | Coxeter Matroids | | 编辑 | Alexandre V. Borovik,I. M. Gelfand,Neil White | | 视频video | | | 概述 | 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 ar | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Textbook 20031st edition | | 关键词 | Combinatorics; Finite; Lattice; Permutation; Topology; algebra; geometry; mathematics; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-2066-4 | | isbn_softcover | 978-1-4612-7400-1 | | isbn_ebook | 978-1-4612-2066-4Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Boston 2003 |
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发表于 2025-3-21 16:14:50
