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arXiv · 0912.1819

Congruence B-Orbits and the Bruhat Poset of Involutions of the Symmetric Group

Eli Bagno·Yonah Cherniavsky
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Abstract

We study the poset of Borel congruence classes of symmetric matrices ordered by containment of closures. We give a combinatorial description of this poset and calculate its rank function. We discuss the relation between this poset and the Bruhat poset of involutions of the symmetric group.

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Eli Bagno, Yonah Cherniavsky. 2009-12-09. Congruence B-Orbits and the Bruhat Poset of Involutions of the Symmetric Group. https://arxiv.org/abs/0912.1819

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