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A new approach to hom-Lie bialgebras

Published 7 Apr 2013 in math-ph, math.MP, math.QA, and math.RA | (1304.1954v1)

Abstract: In this paper, we introduce a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-Lie algebras. We also introduce a notion of an $\mathcal O$-operator and then construct solutions of the classical hom-Yang-Baxter equation in terms of $\mathcal O$-operators and hom-left-symmetric algebras.

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