Spin q–Whittaker polynomials

We introduce and study a one-parameter generalization of the q –Whittaker symmetric functions. This is family multivariate polynomials, whose construction may be viewed as an application procedure fusion from integrable lattice models to vertex model interpretation Hall–Littlewood polynomials [3] , [6] [7] . prove branching Pieri rules, standard dual (skew) Cauchy summation identities, integral representation for new polynomials.