%0 Journal Article %T A Vertex Model for LLT Polynomials %+ Centre National de la Recherche Scientifique (CNRS) %A Corteel, Sylvie %A Gitlin, Andrew %A Keating, David %A Meza, Jeremy %< avec comité de lecture %@ 1073-7928 %J International Mathematics Research Notices %I Oxford University Press (OUP) %V 2022 %N 20 %P 15869-15931 %8 2022-10-16 %D 2022 %Z 2012.02376 %R 10.1093/imrn/rnab165 %Z Mathematics [math]Journal articles %X 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 essentially 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. %G English %L hal-03875137 %U https://cnrs.hal.science/hal-03875137 %~ CNRS %~ INSMI