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arXiv:0912.1819 [math.CO]AbstractReferencesReviewsResources

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

Eli Bagno, Yonah Cherniavsky

Published 2009-12-09Version 1

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.

Categories: math.CO, math.AG
Subjects: 05A05, 20B30
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