LLT Polynomials and Hecke Algebra Traces
Combinatorics
2024-06-25 v1
Abstract
We show that coefficients in unicellular LLT polynomials are evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements. We express these in terms of traditional trace bases, induction, and Kazhdan-Lusztig R-polynomials.
Cite
@article{arxiv.2406.16414,
title = {LLT Polynomials and Hecke Algebra Traces},
author = {Alejandro H. Morales and Mark A. Skandera and Jiayuan Wang},
journal= {arXiv preprint arXiv:2406.16414},
year = {2024}
}
Comments
In Proceedings GASCom 2024, arXiv:2406.14588