On 3-Hom-Lie-Rinehart algebras
Rings and Algebras
2019-11-26 v1
Abstract
We introduce the notion of 3-Hom-Lie-Rinehart algebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we consider extensions of a 3-Hom-Lie-Rinehart algebra and characterize the first cohomology space in terms of the group of automorphisms of an -split abelian extension and the equivalence classes of -split abelian extensions. Finally, we study formal deformations of 3-Hom-Lie-Rinehart algebras.
Keywords
Cite
@article{arxiv.1911.10992,
title = {On 3-Hom-Lie-Rinehart algebras},
author = {Shuangjian Guo and Xiaohui Zhang and Shengxiang Wang},
journal= {arXiv preprint arXiv:1911.10992},
year = {2019}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1808.01909 by other authors