On the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity

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dc.creatorHakobyan, T.
dc.creatorSedrakyan, A.
dc.date1995-01-14
dc.date.accessioned2026-07-07T09:16:28Z
dc.date.available2026-07-07T09:16:28Z
dc.descriptionWe show that the action of universal $R$-matrix of affine $U_qsl_2$ quantum algebra, when $q$ is a root of unity, can be renormalized by some scalar factor to give a well defined nonsingular expression, satisfying Yang-Baxter equation. It reduced to intertwining operators of all representations, corresponding to Chiral Potts, if the parameters of these representations lie on well known algebraic curve. We also show that affine $U_qsl_2$ for $q$ is a root of unity form the autoquasitriangular Hopf algebra in the sence of Reshetikhin.
dc.descriptionlatex file, 20 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9501016
dc.identifierhttp://arxiv.org/abs/q-alg/9501016
dc.identifierCommun.Math.Phys. 117 (1996) 157-171
dc.identifierdoi:10.1007/BF02102434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153361
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleOn the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity
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