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Symmetric algebras and Yang-Baxter equation

Beidar, K.Fong, Y.Stolin, A. — 1997

Proceedings of the 16th Winter School "Geometry and Physics"

Let U be an open subset of the complex plane, and let L denote a finite-dimensional complex simple Lie algebra. and investigated non-degenerate meromorphic functions from U × U into L 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 Γ of the complex numbers (of rank at...

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