Positivity and Web Bases for Specht Modules of Hecke Algebras

Abstract

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.