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

8 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

Access to Document

10.1007/s11856-015-1189-1

Cite this

@article{4419937acdd3467395f3059ee4ee60f9,

title = "Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions",

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.",

author = "Can, {Mahir Bilen} and Yonah Cherniavsky and Tim Twelbeck",

note = "Publisher Copyright: {\textcopyright} 2015, Hebrew University of Jerusalem.",

year = "2015",

month = apr,

day = "20",

doi = "10.1007/s11856-015-1189-1",

language = "אנגלית",

volume = "207",

pages = "281--299",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

AU - Can, Mahir Bilen

AU - Cherniavsky, Yonah

AU - Twelbeck, Tim

PY - 2015/4/20

Y1 - 2015/4/20

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84931564720&partnerID=8YFLogxK

U2 - 10.1007/s11856-015-1189-1

DO - 10.1007/s11856-015-1189-1

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84931564720

SN - 0021-2172

VL - 207

SP - 281

EP - 299

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this