Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations
Combinatorics
2026-05-14 v1
Abstract
We study inhomogeneous -Whittaker polynomials which extend both -Whittaker and stable Grothendieck polynomials. We prove that inhomogeneous -Whittaker polynomials (in countably many variables) form a basis of certain commutative ring extending the ring of symmetric functions to a subring of its completion. We then describe positive specializations of that ring and relate them with a subset of Macdonald-positive specializations of the ring of symmetric functions. We also show some related probability distributions obtained from positive specializations of inhomogeneous -Whittaker polynomials.
Keywords
Cite
@article{arxiv.2605.13432,
title = {Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations},
author = {Ajeeth Gunna and Damir Yeliussizov},
journal= {arXiv preprint arXiv:2605.13432},
year = {2026}
}