A Vertex Model for LLT Polynomials

A Vertex Model for LLT Polynomials

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...

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Veröffentlicht in:International mathematics research notices 2022-10, Vol.2022 (20), p.15869-15931
Hauptverfasser: Corteel, Sylvie, Gitlin, Andrew, Keating, David, Meza, Jeremy
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung: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.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnab165