Macdonald operators and quantum Q-systems for classical types
Mathematical Physics
2019-08-05 v1 math.MP
Representation Theory
Abstract
We propose solutions of the quantum Q-systems of types in terms of -difference operators, generalizing our previous construction for the Q-system of type . The difference operators are interpreted as -Whittaker limits of discrete time evolutions of Macdonald-van Diejen type operators. We conjecture that these new operators act as raising and lowering operators for -Whittaker functions, which are special cases of graded characters of fusion products of KR-modules.
Cite
@article{arxiv.1908.00806,
title = {Macdonald operators and quantum Q-systems for classical types},
author = {Philippe Di Francesco and Rinat Kedem},
journal= {arXiv preprint arXiv:1908.00806},
year = {2019}
}
Comments
33 pages, 2 figures