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Titlebook: Coxeter Matroids; Alexandre V. Borovik,I. M. Gelfand,Neil White Textbook 20031st edition Birkh?user Boston 2003 Combinatorics.Finite.Latti

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樓主
發(fā)表于 2025-3-21 16:14:50 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Coxeter Matroids
編輯Alexandre V. Borovik,I. M. Gelfand,Neil White
視頻videohttp://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
叢書名稱Progress in Mathematics
圖書封面Titlebook: Coxeter Matroids;  Alexandre V. Borovik,I. M. Gelfand,Neil White Textbook 20031st edition Birkh?user Boston 2003 Combinatorics.Finite.Latti
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
關(guān)鍵詞Combinatorics; Finite; Lattice; Permutation; Topology; algebra; geometry; mathematics; theorem
版次1
doihttps://doi.org/10.1007/978-1-4612-2066-4
isbn_softcover978-1-4612-7400-1
isbn_ebook978-1-4612-2066-4Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkh?user Boston 2003
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:16:23 | 只看該作者
Progress in Mathematicshttp://image.papertrans.cn/c/image/239229.jpg
板凳
發(fā)表于 2025-3-22 02:43:54 | 只看該作者
https://doi.org/10.1007/978-1-4612-2066-4Combinatorics; Finite; Lattice; Permutation; Topology; algebra; geometry; mathematics; theorem
地板
發(fā)表于 2025-3-22 05:47:25 | 只看該作者
5#
發(fā)表于 2025-3-22 10:03:18 | 只看該作者
Coxeter Matroids978-1-4612-2066-4Series ISSN 0743-1643 Series E-ISSN 2296-505X
6#
發(fā)表于 2025-3-22 13:44:30 | 只看該作者
Gabriele Siegert,Dieter Brecheisr group, namely, .. the hyperoctahedral group. The resulting structures are called symplectic matroids, and they are in some sense rather general Coxeter matroids, as they include ordinary matroids and a third type, orthogonal matroids, as special cases. This will also prepare us to tackle Coxeter matroids in full generality in the later chapters.
7#
發(fā)表于 2025-3-22 20:00:00 | 只看該作者
8#
發(fā)表于 2025-3-22 21:23:49 | 只看該作者
Wasserkonflikte sind Machtkonfliktenvolves permutation of rows and columns of a matrix. The rules these permutations obey are extremely simple; when axiomatized in group-theoretic terms, they become what are known as axioms for a .-pair (or a .) and very quickly lead to Coxeter groups appearing on the scene.
9#
發(fā)表于 2025-3-23 02:58:16 | 只看該作者
Gabriele Siegert,Dieter BrecheisLagrangian matroids are much better behaved than symplectic matroids. Indeed, as we shall see in this chapter, Lagrangian matroids are in several ways more closely related to ordinary matroids than are general symplectic matroids.
10#
發(fā)表于 2025-3-23 07:50:43 | 只看該作者
Lagrangian Matroids,Lagrangian matroids are much better behaved than symplectic matroids. Indeed, as we shall see in this chapter, Lagrangian matroids are in several ways more closely related to ordinary matroids than are general symplectic matroids.
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