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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… Click to show full 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.
Keywords:
model;
llt polynomials;
vertex model;
model llt
Journal Title: International Mathematics Research Notices
Year Published: 2021
Link to full text (if available)
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Journal Title: International Mathematics Research Notices
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!