3 papers
math.CO2014
Bruhat Order on Partial Fixed Point Free Involutions
Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck
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, i…
math.CO2012
Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck
The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an -shellable pos…
math.CO2012
Lexicographic Shellability of Partial Involutions
Mahir Bilen Can, Tim Twelbeck
In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographii…