## A new approach to hom-Lie bialgebras    [PDF]

Yunhe Sheng, Chengming Bai
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.
View original: http://arxiv.org/abs/1304.1954