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.
No takes yet. Share an insight, caveat, or question.
Morales et al. (2024) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: