Bruhat Order on Partial Fixed Point Free Involutions
Combinatorics
2014-05-06 v2
Abstract
The order complex of inclusion poset of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.
Keywords
Cite
@article{arxiv.1403.0703,
title = {Bruhat Order on Partial Fixed Point Free Involutions},
author = {Mahir Bilen Can and Yonah Cherniavsky and Tim Twelbeck},
journal= {arXiv preprint arXiv:1403.0703},
year = {2014}
}
Comments
Minor typos are fixed