A geometric characterization of Coxeter matroids |
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| Authors: | V V Serganova A Vince A Zelevinsky |
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| Institution: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, USA;(2) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA;(3) Department of Mathematics, Northeastern University, 02115 Boston, MA, USA |
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| Abstract: | Coxeter matroids, introduced by Gelfand and Serganova, are combinatorial structures associated with any finite Coxeter group
and its parabolic subgroup they include ordinary matroids as a specia case. A basic result in the subject is a geometric characterization
of Coxeter matroids first stated by Gelfand and Serganova. This paper presents a self-contained, simple proof of a more general
version of this geometric characterization. |
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| Keywords: | 05E99 05B35 20F55 |
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