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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.
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Dates and versions

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

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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⟩

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