The rook monoid is lexicographically shellable

Details The rook monoid is lexicographically shellable The rook monoid is lexicographically shellable

2010-01-28

arxiv.org/abs/1001.5104v1

Mathematics

Combinatorics

Scientific paper

The main result of this paper is that the rook monoid $R_n$ with respect to
Bruhat-Chevalley-Renner ordering is a lexicographically shellable poset.
Consequently, we know that for any interval $I$ in $R_n$, the order complex
$\Delta(I)$ has the homotopy type of a wedge of spheres or balls.

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