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arXiv · 2207.00654

Positivity and Web Bases for Specht Modules of Hecke Algebras

Samuel David Heard·Jonathan R. Kujawa
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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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Samuel David Heard, Jonathan R. Kujawa. 2022-07-01. Positivity and Web Bases for Specht Modules of Hecke Algebras. https://arxiv.org/abs/2207.00654

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