| 书目名称 | Coxeter Matroids |
| 编辑 | Alexandre V. Borovik,I. M. Gelfand,Neil White |
| 视频video | http://file.papertrans.cn/240/239229/239229.mp4 |
| 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 |
|Archiver|手机版|小黑屋|
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