Coxeter Matroids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schriftenreihe: | Progress in Mathematics
216 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XXII, 264p. 65 illus) |
| ISBN: | 9781461220664 9781461274001 |
| DOI: | 10.1007/978-1-4612-2066-4 |
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| 245 | 1 | 0 | |a Coxeter Matroids |c by Alexandre V. Borovik, I. M. Gelfand, Neil White |
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| 490 | 0 | |a Progress in Mathematics |v 216 | |
| 500 | |a 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 | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2066-4 |
| format | Electronic eBook |
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| id | DE-604.BV042419976 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461220664 9781461274001 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855393 |
| oclc_num | 863720195 |
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| physical | 1 Online-Ressource (XXII, 264p. 65 illus) |
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| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Birkhäuser Boston |
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| series2 | Progress in Mathematics |
| spelling | Borovik, Alexandre V. Verfasser aut Coxeter Matroids by Alexandre V. Borovik, I. M. Gelfand, Neil White Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XXII, 264p. 65 illus) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 216 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 Mathematics Algebra Geometry, algebraic Combinatorics Algebraic Geometry Mathematics, general Mathematik Gelfand, I. M. Sonstige oth White, Neil Sonstige oth https://doi.org/10.1007/978-1-4612-2066-4 Verlag Volltext |
| spellingShingle | Borovik, Alexandre V. Coxeter Matroids Mathematics Algebra Geometry, algebraic Combinatorics Algebraic Geometry Mathematics, general Mathematik |
| title | Coxeter Matroids |
| title_auth | Coxeter Matroids |
| title_exact_search | Coxeter Matroids |
| title_full | Coxeter Matroids by Alexandre V. Borovik, I. M. Gelfand, Neil White |
| title_fullStr | Coxeter Matroids by Alexandre V. Borovik, I. M. Gelfand, Neil White |
| title_full_unstemmed | Coxeter Matroids by Alexandre V. Borovik, I. M. Gelfand, Neil White |
| title_short | Coxeter Matroids |
| title_sort | coxeter matroids |
| topic | Mathematics Algebra Geometry, algebraic Combinatorics Algebraic Geometry Mathematics, general Mathematik |
| topic_facet | Mathematics Algebra Geometry, algebraic Combinatorics Algebraic Geometry Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-1-4612-2066-4 |
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