Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras
Mathematical Physics
2015-09-15 v1 math.MP
Abstract
In this paper, we introduce the concepts of Rota-Baxter operators and differential operators with weights on a multiplicative -ary Hom-algebra. We then focus on Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras and show that they can be derived from Rota-Baxter Hom-Lie algebras, Hom-preLie algebras and Rota-Baxter commutative Hom-associative algebras. We also explore the connections between these Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras.
Keywords
Cite
@article{arxiv.1509.03948,
title = {Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras},
author = {Bing Sun and Liangyun Chen},
journal= {arXiv preprint arXiv:1509.03948},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1306.1990, arXiv:1004.4795 by other authors