Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator

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dc.creatorFelder, G.
dc.creatorStevens, L.
dc.creatorVarchenko, A.
dc.date2002-03-06
dc.date2002-10-14
dc.date.accessioned2026-07-07T04:46:51Z
dc.date.available2026-07-07T04:46:51Z
dc.descriptionWe consider the space of elliptic hypergeometric functions of the sl_2 type associated with elliptic curves with one marked point. This space represents conformal blocks in the sl_2 WZW model of CFT. The modular group acts on this space. We give formulas for the matrices of the action in terms of values at roots of unity of Macdonald polynomials of the sl_2 type.
dc.descriptionLatex, 19 pages; added remark in section 2 and remark in section 6, added references
dc.identifierhttps://arxiv.org/abs/math/0203049
dc.identifierhttp://arxiv.org/abs/math/0203049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63499
dc.subjectQuantum Algebra
dc.titleModular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator
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