On a classical limit of q-deformed Whittaker functions

Anton Gerasimov; Dimitri Lebedev; Sergey Oblezin

On a classical limit of q-deformed Whittaker functions

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arxiv 1101.4567 v1 pith:5UIU6YVH submitted 2011-01-24 math.AG math.RT

Anton Gerasimov , Dimitri Lebedev , Sergey Oblezin This is my paper · ORCID

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keywords whittakerclassicalfunctionlimitq-deformedderivationfunctionsgelfand-zetlin

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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
math.CO 2025-02 conditional novelty 7.0 of 10

Inhomogeneous spin q-Whittaker polynomials are orthogonal under an explicit torus scalar product, giving a basis of symmetric polynomials.

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