16 citations · 61 across the 19 of their papers we have counts for
4 papers · 1 filter
Quasi-derivations of Lie-Yamaguti algebras
Jie Lin, Yao Ma, Liangyun Chen
The concept of derivation for Lie-Yamaguti algebras is generalized in this paper. A quasi-derivation of an LY-algebra is embedded as derivation in a larger LY-algebra. The relation…
One-parameter formal deformations of Hom-Lie-Yamaguti algebras
Yao Ma, Liangyun Chen, Jie Lin
This paper studies one-parameter formal deformations of Hom-Lie-Yamaguti algebras. The first, second and third cohomology groups on Hom-Lie-Yamaguti algebras extending ones on Lie-…
Cohomology and 1-parameter formal deformations of Hom-Lie triple systems
Yao Ma, Liangyun Chen, Jie Lin
In this paper, we study the cohomology theory of Hom-Lie triple systems generalizing the Yamaguti cohomology theory of Lie triple systems. We introduce the central extension theory…
Systems of quotients of Lie triple systems
Yao Ma, Liangyun Chen, Jie Lin
In this paper, we introduce the notion of system of quotients of Lie triple systems and investigate some properties which can be lifted from a Lie triple system to its systems of q…