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An independent set axiomatization for symplectic matroids

Timothy Y. Chow
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Abstract

One of the simplest axiomatizations of a matroid is in terms of independent sets. Curiously, no such independent set axiomatization is known for Gelfand and Serganova's WP-matroids (which are ``Coxeter group analogues'' of matroids). Here we state and prove such an axiomatization in the special case of symplectic matroids. No prior knowledge of WP-matroids is assumed; we believe the paper should be accessible and interesting to anyone with some interest in matroids.

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Timothy Y. Chow. 1998-04-01. An independent set axiomatization for symplectic matroids. https://arxiv.org/abs/math/9804004

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