Hom 3-Lie-Rinehart Algebras
Rings and Algebras
2020-01-24 v2
Abstract
After endowing with a 3-Lie-Rinehart structure on Hom 3-Lie algebras, we obtain a class of special Hom 3-Lie algebras, which have close relationships with representations of commutative associative algebras. We provide a special class of Hom 3-Lie-Rinehart algebras, called split regular Hom 3-Lie-Rinehart algebras, and we then characterize their structures by means of root systems and weight systems associated to a splitting Cartan subalgebra.
Keywords
Cite
@article{arxiv.2001.07570,
title = {Hom 3-Lie-Rinehart Algebras},
author = {Ruipu Bai and Xiaojuan Lie and Yingli Wu},
journal= {arXiv preprint arXiv:2001.07570},
year = {2020}
}