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

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

2009-12-09

arxiv.org/abs/0912.1819v1

Mathematics

Combinatorics

Scientific paper

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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