LLT Polynomials and Hecke Algebra Traces
arXiv:2406.16414 · doi:10.4204/EPTCS.403.31
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.
In Proceedings GASCom 2024, arXiv:2406.14588