Symmetric algebras and Yang-Baxter equation
Let be an open subset of the complex plane, and let denote a finite-dimensional complex simple Lie algebra. and investigated non-degenerate meromorphic functions from into 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 of the complex numbers (of rank at...