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Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation. (English) Zbl 1453.14090

Summary: This work deals with an algebro-geometric theory of solutions of the classical Yang-Baxter equation based on torsion free coherent sheaves of Lie algebras on Weierstraß cubic curves.

MSC:

14H81 Relationships between algebraic curves and physics
14H60 Vector bundles on curves and their moduli
16T25 Yang-Baxter equations
17B99 Lie algebras and Lie superalgebras
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