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arXiv · 1205.0062

Lexicographic Shellability of Partial Involutions

Mahir Bilen Can·Tim Twelbeck
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Abstract

In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographiically shellable poset. Also, studying the embeddings of symmetric groups and involutions into rooks and partial involutions, respectively, we find new $EL$-labelings on permutations as well as on involutions.

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Mahir Bilen Can, Tim Twelbeck. 2013-02-21. Lexicographic Shellability of Partial Involutions. https://arxiv.org/abs/1205.0062

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