# Inhomogeneous spin $q$-Whittaker polynomials

@inproceedings{Borodin2021InhomogeneousS, title={Inhomogeneous spin \$q\$-Whittaker polynomials}, author={Alexei Borodin and Sergei Korotkikh}, year={2021} }

We introduce and study an inhomogeneous generalization of the spin q-Whittaker polynomials from [BW17]. 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.

## 2 Citations

### Representation theoretic interpretation and interpolation properties of inhomogeneous spin $q$-Whittaker polynomials

- Mathematics
- 2022

. We establish new properties of inhomogeneous spin q -Whittaker polynomials, which are symmetric polynomials generalizing t = 0 Macdonald polynomials. We show that these polynomials are deﬁned in…

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

- MathematicsProbability Theory and Related Fields
- 2022

We study a new integrable probabilistic system, defined in terms of a stochastic colored vertex model on a square lattice. The main distinctive feature of our model is a new family of parameters…

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