Spin $q$-Whittaker polynomials
Combinatorics
2017-01-24 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We introduce and study a one-parameter generalization of the q-Whittaker symmetric functions. This is a family of multivariate symmetric polynomials, whose construction may be viewed as an application of the procedure of fusion from integrable lattice models to a vertex model interpretation of a one-parameter generalization of Hall-Littlewood polynomials from [Bor17, BP16a, BP16b]. We prove branching and Pieri rules, standard and dual (skew) Cauchy summation identities, and an integral representation for the new polynomials.
Cite
@article{arxiv.1701.06292,
title = {Spin $q$-Whittaker polynomials},
author = {Alexei Borodin and Michael Wheeler},
journal= {arXiv preprint arXiv:1701.06292},
year = {2017}
}
Comments
41 pages