Inhomogeneous spin $q$-Whittaker polynomials

Alexei Borodin, Sergei Korotkikh

Published 2021-04-03Version 1

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.