Positivity and Web Bases for Specht Modules of Hecke Algebras
Representation Theory
2023-02-09 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.2207.00654,
title = {Positivity and Web Bases for Specht Modules of Hecke Algebras},
author = {Samuel David Heard and Jonathan R. Kujawa},
journal= {arXiv preprint arXiv:2207.00654},
year = {2023}
}
Comments
24 pages, improved exposition and additional details, updated first author's contact information and references, to appear in IMRN