Rota-Baxter 3-Lie algebras
Mathematical Physics
2013-06-11 v1 math.MP
Quantum Algebra
Abstract
In this paper we introduce the concepts of a Rota-Baxter operator and a differential operator with weights on an -algebra. We then focus on Rota-Baxter 3-Lie algebras and show that they can be derived from Rota-Baxter Lie algebras and pre-Lie algebras and from Rota-Baxter commutative associative algebras with derivations. We also establish the inheritance property of Rota-Baxter 3-Lie algebras.
Keywords
Cite
@article{arxiv.1306.1990,
title = {Rota-Baxter 3-Lie algebras},
author = {Ruipu Bai and Li Guo and Jianqian Li and Yong Wu},
journal= {arXiv preprint arXiv:1306.1990},
year = {2013}
}
Comments
15 pages