Factorization of the Universal R-matrix for Uq(sl2)

Abstract

The factorization of the universal R-matrix corresponding to so called Drinfeld Hopf structure is described on the example of quantum affine algebra Uq(sl2). As a result of factorization procedure we deduce certain differential equations on the factors of the universal R-matrix, which allow to construct uniquely these factors in the integral form.

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