The constructions of 3-Hom-Lie bialgebras
Rings and Algebras
2019-02-25 v1
Abstract
In this paper, we first introduce the notion of a 3-Hom-Lie bialgebra and prove that it is equivalent to a Manin triple of 3-Hom-Lie algebras. Also, we study the -operator and construct solutions of the 3-Lie classical Hom-Yang-Baxter equation interms of -operators and 3-Hom-pre-Lie algebras. Finally, we show that a 3-Hom-Lie algebra has a phase space if and only if it is sub-adjacent to a 3-Hom-pre-Lie algebra.
Keywords
Cite
@article{arxiv.1902.03917,
title = {The constructions of 3-Hom-Lie bialgebras},
author = {Shuangjian Guo and Xiaohui Zhang and Shengxiang Wang},
journal= {arXiv preprint arXiv:1902.03917},
year = {2019}
}
Comments
17pages. arXiv admin note: text overlap with arXiv:1304.7334, arXiv:1604.05996, arXiv:1711.08381 by other authors