The Rook Monoid is Lexicographically Shellable
Combinatorics
2019-06-26 v3 Algebraic Geometry
Abstract
We prove that the Bruhat-Chevalley-Renner order on the rook monoid is EL-shellable. We determine the homeomorphism type of the associated order complex.
Cite
@article{arxiv.1001.5104,
title = {The Rook Monoid is Lexicographically Shellable},
author = {Mahir Bilen Can},
journal= {arXiv preprint arXiv:1001.5104},
year = {2019}
}