Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Mahir Bilen Can; Yonah Cherniavsky; Tim Twelbeck

doi:10.1007/s11856-015-1189-1

Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an EL-shellable poset whose order complex triangulates a ball. Another purpose of this article is to prove that the Deodhar-Srinivasan poset is a proper, graded subposet of the Bruhat-Chevalley poset on fixed-point-free involutions.

Original language	English
Pages (from-to)	281-299
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	207
Issue number	1
DOIs	https://doi.org/10.1007/s11856-015-1189-1
State	Published - 20 Apr 2015

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abstract = "The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an EL-shellable poset whose order complex triangulates a ball. Another purpose of this article is to prove that the Deodhar-Srinivasan poset is a proper, graded subposet of the Bruhat-Chevalley poset on fixed-point-free involutions.",

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AB - The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an EL-shellable poset whose order complex triangulates a ball. Another purpose of this article is to prove that the Deodhar-Srinivasan poset is a proper, graded subposet of the Bruhat-Chevalley poset on fixed-point-free involutions.

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Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Abstract

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