On q-deformed gl(l+1)-Whittaker function III
Representation Theory
2008-06-11 v2 Algebraic Geometry
Abstract
We identify q-deformed gl(l+1)-Whittaker functions with a specialization of Macdonald polynomials. This provides a representation of q-deformed gl(l+1)-Whittaker functions in terms of Demazure characters of affine Lie algebra \hat{gl(l+1)}. We also define a system of dual Hamiltonians for q-deformed gl(l+1)-Toda chains and give a new integral representation for q-deformed gl(l+1)-Whittaker functions. Finally an expression of q-deformed gl(l+1)-Whittaker function as a matrix element of a quantum torus algebra is derived.
Cite
@article{arxiv.0805.3754,
title = {On q-deformed gl(l+1)-Whittaker function III},
author = {Anton Gerasimov and Dimitri Lebedev and Sergey Oblezin},
journal= {arXiv preprint arXiv:0805.3754},
year = {2008}
}
Comments
20 pages, several typos corrected