Positivity and Web Bases for Specht Modules of Hecke Algebras

Published 1 Jul 2022 in math.RT and math.CO | (2207.00654v2)

Abstract: We show that the transition matrix from the standard basis to the web basis for a Specht module of the Hecke algebra is unitriangular and satisfies a strong positivity property whenever the Specht module is labeled by a partition with at most two parts. This generalizes results of Russell--Tymoczko and Rhoades.

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