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arXiv · 1001.5104

The Rook Monoid is Lexicographically Shellable

Mahir Bilen Can
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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.

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Mahir Bilen Can. 2019-06-25. The Rook Monoid is Lexicographically Shellable. https://doi.org/10.1016/j.ejc.2019.05.009

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