The Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules

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dc.creatorMukhin, E.
dc.creatorVarchenko, A.
dc.date1997-09-16
dc.date1997-09-29
dc.date.accessioned2026-07-07T09:08:51Z
dc.date.available2026-07-07T09:08:51Z
dc.descriptionWe consider the quantized Knizhnik-Zamolodchikov difference equation (qKZ) with values in a tensor product of irreducible sl(2) modules, the equation defined in terms of rational R-matrices. We solve the equation in terms of multidimensional q-hypergeometric integrals. We identify the space of solutions of the qKZ equation with the tensor product of the corresponding modules over the quantum group $U_qsl(2)$. We compute the monodromy of the qKZ equation in terms of the trigonometric R-matrices.
dc.descriptionLaTex, 32 pages, a theorem added
dc.identifierhttps://arxiv.org/abs/q-alg/9709026
dc.identifierhttp://arxiv.org/abs/q-alg/9709026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150872
dc.subjectQuantum Algebra
dc.titleThe Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules
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