Geodesic
On construction of universal twist element from R-matrix
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 228-244

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A method to construct a universal twist element using constant quasi-classical unitary matrix solution of the Yang - Baxter equation is proposed. The method is applied to few known $R$-matrices, corresponding to Lie (super)algebras of rank one. 
@article{ZNSL_2002_291_a12,
     author = {A. A. Stolin and P. P. Kulish and E. V. Damaskinsky},
     title = {On construction of universal twist element from {R-matrix}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {228--244},
     publisher = {mathdoc},
     volume = {291},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a12/}
}
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A. A. Stolin; P. P. Kulish; E. V. Damaskinsky. On construction of universal twist element from R-matrix. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 228-244. http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a12/