2020/01/17 by Bai, Ruipu, Lie, Xiaojuan, Wu, Yingli
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2001.07570
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.