The order complex of inclusion poset $PF_n$ of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that $PF_n$ is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of $PF_n$ is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.
@article{10_37236_4396,
author = {Mahir Bilen Can and Yonah Cherniavsky and Tim Twelbeck},
title = {Bruhat order on partial fixed point free involutions.},
journal = {The electronic journal of combinatorics},
year = {2014},
volume = {21},
number = {4},
doi = {10.37236/4396},
zbl = {1320.06002},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4396/}
}
TY - JOUR
AU - Mahir Bilen Can
AU - Yonah Cherniavsky
AU - Tim Twelbeck
TI - Bruhat order on partial fixed point free involutions.
JO - The electronic journal of combinatorics
PY - 2014
VL - 21
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/4396/
DO - 10.37236/4396
ID - 10_37236_4396
ER -
%0 Journal Article
%A Mahir Bilen Can
%A Yonah Cherniavsky
%A Tim Twelbeck
%T Bruhat order on partial fixed point free involutions.
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/4396/
%R 10.37236/4396
%F 10_37236_4396
Mahir Bilen Can; Yonah Cherniavsky; Tim Twelbeck. Bruhat order on partial fixed point free involutions.. The electronic journal of combinatorics, Tome 21 (2014) no. 4. doi: 10.37236/4396
