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5 papers · 1 filter
Super-biderivations of Cartan type Lie superalgebras
Jixia Yuan, Liangyun Chen, Yan Cao
In this paper, we characterize the super-biderivations of Cartan type Lie superalgebras over the complex field . Furthermore, we prove that all super-biderivations of C…
Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields
Liping Sun, Wende Liu
In this paper, the Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields are studied. Taking advantage of the Z-grading structures and the transi…
On the structure of graded Leibniz triple systems
Yan Cao, Liangyun Chen
We study the structure of a Leibniz triple system graded by an arbitrary abelian group which is considered of arbitrary dimension and over an arbitrary base field…
On split Regular Hom-Leibniz algebras
Yan Cao, Liangyun Chen
We introduce the class of split regular Hom-Leibniz algebras as the natural generalization of split Leibniz algebras and split regular Hom-Lie algebras. By developing techniques of…
Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields
Jixia Yuan, Liping Sun, Wende Liu
This paper considers the multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields with characteristic zero. The main result…