A vertex model for LLT polynomials
Combinatorics
2020-12-07 v1 Mathematical Physics
math.MP
Probability
Abstract
We describe a novel Yang-Baxter integrable vertex model. From this vertex model we construct a certain class of partition functions that we show are equal to the LLT polynomials of Lascoux, Leclerc, and Thibon. Using the vertex model formalism, we give alternate proofs of many properties of these polynomials, including symmetry and a Cauchy identity.
Cite
@article{arxiv.2012.02376,
title = {A vertex model for LLT polynomials},
author = {Sylvie Corteel and Andrew Gitlin and David Keating and Jeremy Meza},
journal= {arXiv preprint arXiv:2012.02376},
year = {2020}
}