The Rook Monoid is Lexicographically Shellable
classification
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math.AG
keywords
monoidorderrookassociatedbruhat-chevalley-rennercomplexdetermineel-shellable
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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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