Inhomogeneous spin q-Whittaker polynomials are orthogonal under an explicit torus scalar product, giving a basis of symmetric polynomials.
On a classical limit of q-deformed Whittaker functions
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abstract
We provide a derivation of the Givental integral representation of the classical $gl_{\ell+1}$-Whittaker function as a limit $q \to 1$ of the q-deformed $gl_{\ell+1}$-Whittaker function represented as a sum over the Gelfand-Zetlin patterns.
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Orthogonality of spin $q$-Whittaker polynomials
Inhomogeneous spin q-Whittaker polynomials are orthogonal under an explicit torus scalar product, giving a basis of symmetric polynomials.