Geodesic
Factorization of the $\mathrm{R}$-matrix.~I
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 134-163

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We study the general rational solution of the Yang–Baxter equation with the symmetry algebra $s\ell(3)$. The $R$-operator acting in the tensor product of two arbitrary representations of the symmetry algebra can be represented as the product of the simpler “building blocks” – $\mathbb R$-operators. The $\mathbb R$-operators are constructed explicitly and have simple structure. We construct in a such way the general rational solution of the Yang–Baxter equation with the symmetry algebra $s\ell(3)$. To illustrate the factorization in the simplest situation we treat also the $s\ell(2)$ case. 
@article{ZNSL_2006_335_a7,
     author = {S. \`E. Derkachev},
     title = {Factorization of the $\mathrm{R}${-matrix.~I}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {134--163},
     publisher = {mathdoc},
     volume = {335},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a7/}
}
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S. È. Derkachev. Factorization of the $\mathrm{R}$-matrix.~I. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 134-163. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a7/