3 papers
math.RA2025
The non-abelian extension and Wells map of Leibniz conformal algebra
Jun Zhao, Bo Hou, Xin Zhou
In this paper, we study the theory of non-abelian extensions of a Leibniz conformal algebra by a Leibniz conformal algebra and prove that all the non-abelian extensions are…
math.RA2023
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…
math.RA2022
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…