Intervals and factors in the Bruhat order - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Discrete Mathematics and Theoretical Computer Science Year : 2015

Intervals and factors in the Bruhat order

Abstract

In this paper we study those generic intervals in the Bruhat order of the symmetric group that are isomorphic to the principal order ideal of a permutation w, and consider when the minimum and maximum elements of those intervals are related by a certain property of their reduced words. We show that the property does not hold when w is a decomposable permutation, and that the property always holds when w is the longest permutation.
Fichier principal
Vignette du fichier
dmtcs-17-1-25.pdf (280.33 Ko) Télécharger le fichier
Origin Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01196854 , version 1 (10-09-2015)

Identifiers

Cite

Bridget Eileen Tenner. Intervals and factors in the Bruhat order. Discrete Mathematics and Theoretical Computer Science, 2015, Vol. 17 no. 1 (1), pp.383—-396. ⟨10.46298/dmtcs.2110⟩. ⟨hal-01196854⟩

Collections

TDS-MACS
55 View
1765 Download

Altmetric

Share

More