10 citations · 20 across the 9 of their papers we have counts for
9 papers
Rota-Baxter family -associative conformal algebras and their cohomology theory
Yuanyuan Zhang, Jun Zhao, Genqiang Liu
In this paper, we first propose the concept of Rota-Baxter family -associative conformal algebras, then we study the cohomology theory of Rota-Baxter family -associative conf…
Crossed modules, non-abelian extensions of associative conformal algebras and Wells exact sequences
Bo Hou, Jun Zhao
In this paper, we introduce the notions of crossed module of associative conformal algebras, 2-term strongly homotopy associative conformal algebras, and discuss the relationship b…
The cohomology of left-symmetric conformal algebra and its applications
Jun Zhao, Bo Hou
In this paper, we develop a cohomology theory of a left-symmetric conformal algebra and study its some applications. We define the cohomology of a left-symmetric conformal algebra,…
Gerstenhaber algebra of an associative conformal algebra
Bo Hou, Zhongxi Shen, Jun Zhao
We define a cup product on the Hochschild cohomology of an associative conformal algebra , and show the cup product is graded commutative. We define a graded Lie bracket with th…
Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras
Tianqi Feng, Jun Zhao, Liangyun Chen
In this paper, we focus on the $(\si,\t)$-derivation theory of Lie conformal superalgebras. Firstly, we study the fundamental properties of conformal $(\si,\t)$-derivations. Second…
Deformations and generalized derivations of Lie conformal superalgebras
Jun Zhao, Liangyun Chen, Lamei Yuan
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Lie conformal superalgebras. Firstly, we construc…
Deformations and generalized derivations of Hom-Lie conformal algebras
Jun Zhao, Lamei Yuan, Liangyun Chen
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we dev…
-ary Hom-Nambu algebras
Jun Zhao, Liangyun Chen
In this paper, we define -derivations, and study some properties of -derivations, with its properties we can structure a new -ary Hom-Nambu algebra from an -ary Hom-Nam…
Representations and *-extensions of hom-Jordan-Lie algebras
Jun Zhao, Liangyun Chen, Lili Ma
The purpose of this paper is to study representations and *-extensions of hom-Jordan-Lie algebras. In particular, adjoint representations, trivial representations, deformations…