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Inhomogeneous spin $q$-Whittaker polynomials (2104.01415v1)
Published 3 Apr 2021 in math.CO, math-ph, math.MP, and math.PR
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.
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