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Coxeter matroid
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<p>In mathematics, Coxeter matroids are generalization of <a href="/facts/Matroid/5bLcGlRF">matroids</a> depending on a choice of a <a href="/facts/Coxeter_group/bgzHFm1Q">Coxeter group</a> <i>W</i> and a <a href="/facts/Parabolic_subgroup_of_a_reflection_group/elgdLplQ">parabolic subgroup</a> <i>P</i>. Ordinary matroids correspond to the case when <i>P</i> is a maximal parabolic subgroup of a symmetric group <i>W</i>. They were introduced by Gelfand and Serganova (1987, 1987b), who named them after <a href="/facts/H._S._M._Coxeter/D2l5jWGG">H. S. M. Coxeter</a>. </p><p>Borovik, Gelfand & White (2003) give a detailed account of Coxeter matroids. </p>