On a classical limit of q-deformed Whittaker functions

Abstract

We provide a derivation of the Givental integral representation of the classical $g{l}_{\ell +1}$-Whittaker function as a limit $q\to 1$ of the q-deformed $g{l}_{\ell +1}$-Whittaker function represented as a sum over the Gelfand-Zetlin patterns.

11 pages

References in corpus (2)

• On q-deformed gl(l+1)-Whittaker function II
• Baxter operator and Archimedean Hecke algebra

Cited by in corpus (6)

• Spectral theory for the q-Boson particle system
• A q-weighted version of the Robinson-Schensted algorithm
• Dualities in quantum integrable many-body systems and integrable probabilities -- I
• Baxter operator formalism for Macdonald polynomials
• A Classical Limit of Noumi's $q$-Integral Operator
• q-Whittaker functions, finite fields, and Jordan forms