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arXiv:0910.4743 [math.CO]AbstractReferencesReviewsResources

Involutions of the Symmetric Group and Congruence B-orbits of Anti-Symmetric Matrices

Yonah Cherniavsky

Published 2009-10-25Version 1

We present the poset of Borel congruence classes of anti-symmetric matrices ordered by containment of closures. We show that there exists a bijection between the set of these classes and the set of involutions of the symmetric group. We give two formulas for the rank function of this poset.

Categories: math.CO
Subjects: 06A07, 05A05
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