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Lexicographic shellability of sects

By Aram Bingham and Néstor Díaz Morera
In this paper, we show that the Bruhat order on the sects of the symmetric space of type AIIIAIII are lexicographically shellable. Our proof proceeds from a description of these posets as rook placements in an arbitrary partition shape which allows us to extend an ELEL-labelling of the rook monoid... Show more
December 22, 2023
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Lexicographic shellability of sects
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