Inhomogeneous spin $q$-Whittaker polynomials
Combinatorics
2021-04-06 v1 Mathematical Physics
math.MP
Probability
Abstract
We introduce and study an inhomogeneous generalization of the spin -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.
Cite
@article{arxiv.2104.01415,
title = {Inhomogeneous spin $q$-Whittaker polynomials},
author = {Alexei Borodin and Sergei Korotkikh},
journal= {arXiv preprint arXiv:2104.01415},
year = {2021}
}
Comments
38 pages