Sylvie Corteel, Andrew Gitlin, David Keating, Jeremy Meza
Published 2020-12-04Version 1
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.
Zero-free regions of partition functions with applications to algorithms and graph limits
New relations of pod partition and its connection with other partition functions
Congruences for partition functions related to mock theta functions
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