Geodesic
Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 179-214

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The factorization of the universal $\mathcal R$-matrix corresponding to the so-called Drinfeld Hopf structure is described in the example of the quantum affine algebra $U_q(\widehat{sl}_2)$. As a result of the factorization procedure, we deduce certain differential equations on the factors of the universal $\mathcal R$-matrix that allow uniquely constructing these factors in the integral form. 
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     title = {Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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J. Ding; S. Z. Pakulyak; S. M. Khoroshkin. Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 179-214. http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a0/