A new approach to hom-Lie bialgebras
Mathematical Physics
2013-12-18 v1 math.MP
Quantum Algebra
Rings and Algebras
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 -operator and then construct solutions of the classical hom-Yang-Baxter equation in terms of -operators and hom-left-symmetric algebras.
Keywords
Cite
@article{arxiv.1304.1954,
title = {A new approach to hom-Lie bialgebras},
author = {Yunhe Sheng and Chengming Bai},
journal= {arXiv preprint arXiv:1304.1954},
year = {2013}
}