Intervals and factors in the Bruhat order
Bridget Eileen Tenner
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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