Ruijsenaars' hypergeometric function and the modular double of U_q(sl(2,C))
Quantum Algebra
2007-05-23 v2 Representation Theory
Abstract
Simultaneous eigenfunctions of two Askey-Wilson second order difference operators are constructed as formal matrix coefficients of the principal series representation of the modular double of the quantized universal enveloping algebra U_q(sl(2,C)). These eigenfunctions are shown to be equal to Ruijsenaars' hypergeometric function under a proper parameter correspondence.
Cite
@article{arxiv.math/0501405,
title = {Ruijsenaars' hypergeometric function and the modular double of U_q(sl(2,C))},
author = {Fokko J. van de Bult},
journal= {arXiv preprint arXiv:math/0501405},
year = {2007}
}
Comments
Replaced to synchronize formula numbers with the published version. 25 pages