R - Operator , Co - Product and Haar - Measure for the Modular Double Of
نویسنده
چکیده
— A certain class of unitary representations of Uq(sl(2;R)) has the property of being simultanenously a representation of Uq̃(sl(2;R)) for a particular choice of q̃(q). Faddeev has proposed to unify the quantum groups Uq(sl(2;R)) and Uq̃(sl(2;R)) into some enlarged object for which he has coined the name “modular double”. We study the R-operator, the co-product and the Haar-measure for the modular double of Uq(sl(2;R)) and establish their main properties. In particular it is shown that the Clebsch-Gordan maps constructed in [PT2] diagonalize this R-operator. MSC:
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