Representations and Deformations of 3-Hom-$\rho$-Lie algebras
Rings and Algebras
2021-04-27 v2 Commutative Algebra
Abstract
The aim of this paper is to introduce 3-Hom--Lie algebra structures generalizing the algebras of 3-Hom-Lie algebra. Also, we investigate the representations and deformations theory of this type of Hom-Lie algebras. Moreover, we introduce the definition of extensions and abelian extensions of 3-Hom--Lie algebras and show that associated to any abelian extension, there is a representation and a 2-cocycle.
Keywords
Cite
@article{arxiv.2104.08816,
title = {Representations and Deformations of 3-Hom-$\rho$-Lie algebras},
author = {E. Peyghan and Z. Bagheri and I. Gultekin and A. Gezer},
journal= {arXiv preprint arXiv:2104.08816},
year = {2021}
}
Comments
15 pages