Inhomogeneous spin $q$-Whittaker polynomials

Abstract

We introduce and study an inhomogeneous generalization of the spin $q$-Whittaker polynomials from [Borodin,Wheeler-17]. These are symmetric polynomials, and we prove a branching rule, skew dual and non-dual Cauchy identities, and an integral representation for them. Our main tool is a novel family of deformed Yang-Baxter equations.

arXiv comment38 pages

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• Hidden diagonal integrability of $q$-Hahn vertex model and Beta polymer model