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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Matroids and Semimodular Lattices,ar lattices and seeing how they are related to the symmetric group. We develop a viewpoint of a semimodular lattice as a chamber system with a kind of metric that gives it a structure only slightly weaker than that of a building over .. This leads to a natural way to represent flag matroids in semim

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Symplectic Matroids,r 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 m

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Textbook 20031st editionintuitive 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 sy

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