Geodesic
Solutions of the BiHom-Yang-Baxter equation
Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 901-918

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In this paper we extend the Yang-Baxter equation (YBE) into the setting of BiHom-structures and the BiHom-Yang-Baxter equation (BHYBE) is introduced. Two methods for constructing solutions of the BHYBE are discussed, one from Hopf algebras and the other from BiHom-Lie algebras. Finally, as an application, we show that a solution of the BHYBE can generate a representation of the braid group. Bibliography: 34 titles.
Keywords: BiHom-Yang-Baxter equation, BiHom-Lie algebra, BiHom-associative algebra. 
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     title = {Solutions of the {BiHom-Yang-Baxter} equation},
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X. Fang; W. Liu. Solutions of the BiHom-Yang-Baxter equation. Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 901-918. http://geodesic.mathdoc.fr/item/SM_2018_209_6_a7/