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On a classical limit of q-deformed Whittaker functions

Algebraic Geometry 2015-05-27 v1 Representation Theory

Abstract

We provide a derivation of the Givental integral representation of the classical gl+1gl_{\ell+1}-Whittaker function as a limit q1q \to 1 of the q-deformed gl+1gl_{\ell+1}-Whittaker function represented as a sum over the Gelfand-Zetlin patterns.

Keywords

Cite

@article{arxiv.1101.4567,
  title  = {On a classical limit of q-deformed Whittaker functions},
  author = {Anton Gerasimov and Dimitri Lebedev and Sergey Oblezin},
  journal= {arXiv preprint arXiv:1101.4567},
  year   = {2015}
}

Comments

11 pages