21 citations · 177 across the 58 of their papers we have counts for
6 papers · 1 filter
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…
Hom-Nijienhuis operator and *-extension of Hom-Lie Superalgebras
Yan Liu, Liangyun Chen, Yao Ma
In this paper, we study hom-Lie superalgebras. We give the definition of hom-Nijienhuis operators of regualr hom-Lie superalgebras and show that the deformation generated by a hom-…
Some characterizations of nilpotent -Lie superalgebras
Baoling Guan, Liangyun Chen, Ma Yao
The paper studies nilpotent -Lie superalgebras. More specifically speaking, we first prove Engel's theorem for -Lie superalgebras. Second, we research some properties of nilp…
On the cohomology and extensions of first-class -Lie superalgebras
Yao Ma, Liangyun Chen
An -Lie superalgebra of parity 0 is called a first-class -Lie superalgebra. In this paper, we give the representation and cohomology for a first-class -Lie superalgebra an…
Representations and module-extensions of hom 3-Lie algebras
Yan Liu, Liangyun Chen, Yao Ma
In this paper, we study the representations and module-extensions of hom 3-Lie algebras. We show that a linear map between hom 3-Lie algebras is a morphism if and only if its graph…