Let $U$ be an open subset of the complex plane, and let $L$ denote a finite-dimensional complex simple Lie algebra. A. A. Belavin and V. G. Drinfel’d investigated non-degenerate meromorphic functions from $U\times U$ into $L\otimes L$ which are solutions of the classical Yang-Baxter equation [Funct. Anal. Appl. 16, 159-180 (1983; Zbl 0504.22016)]. They found that (up to equivalence) the solutions depend only on the difference of the two variables and that their set of poles forms a discrete (additive) subgroup $\Gamma$ of the complex numbers (of rank at most 2). If $\Gamma$ is non-trivial, they were able to completely classify all possible solutions. If $\Gamma$ is trivial, the solutions are called rational and for $L=s{l}_n\left(ℂ\right)$ they were classified by A. Stolin [in Math. Scand. 69, No. 1, 57-80 (1991; Zbl 0727.17005)]. A Lie algebra $L$ is called symmetric if there exists a non-degenerate symmetric invariant bilinear form on $L$. In the !

EUDML-ID : urn:eudml:doc:221831
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@article{701593,
     title = {Symmetric algebras and Yang-Baxter equation},
     booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1997},
     pages = {[15]-28},
     mrnumber = {MR1469019},
     zbl = {0884.17007},
     url = {http://dml.mathdoc.fr/item/701593}
}

Beidar, K.; Fong, Y.; Stolin, A. Symmetric algebras and Yang-Baxter equation, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books,  (1997), pp. [15]-28. http://gdmltest.u-ga.fr/item/701593/