Generalized representations of 3-Hom-Lie algebras
Representation Theory
2019-05-31 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
The propose of this paper is to extend generalized representations of 3-Lie algebras to Hom-type algebras. We introduce the concept of generalized representation of multiplicative 3-Hom-Lie algebras, develop the corresponding cohomology theory and study semi-direct products. We provide a key construction, various examples and computation of 2-cocycles of the new cohomology. Also, we give a connection between a split abelian extension of a 3-Hom-Lie algebra and a generalized semidirect product 3-Hom-Lie algebra.
Keywords
Cite
@article{arxiv.1905.13048,
title = {Generalized representations of 3-Hom-Lie algebras},
author = {Sami Mabrouk and Abdenacer Makhlouf and Sonia Massoud},
journal= {arXiv preprint arXiv:1905.13048},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1609.01549