Ruijsenaars' hypergeometric function and the modular double of U_q(sl(2,C))

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dc.creatorvan de Bult, Fokko J.
dc.date2005-01-24
dc.date2006-09-19
dc.date.accessioned2026-07-07T06:39:20Z
dc.date.available2026-07-07T06:39:20Z
dc.descriptionSimultaneous 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.
dc.descriptionReplaced to synchronize formula numbers with the published version. 25 pages
dc.identifierhttps://arxiv.org/abs/math/0501405
dc.identifierhttp://arxiv.org/abs/math/0501405
dc.identifierAdv. Math. 204 (2006), 539-571
dc.identifierdoi:10.1016/j.aim.2005.05.023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101041
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject33D80
dc.titleRuijsenaars' hypergeometric function and the modular double of U_q(sl(2,C))
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