3 papers
math.RA2022
Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras
Yizheng Li, DIngguo Wang
In this paper, we construct a differential graded Lie algebra whose Maurer-Cartan elements are given by crossed homomorphisms on Leibniz algebras. This allows us to define cohomolo…
math.RA2022★ 3 cited
Cohomology and Deformation theory of Modified Rota-Baxter Leibniz algebras
Yizheng Li, Dingguo Wang
In this paper, we define the cohomology of a modified Rota-Baxter Leibniz algebra with coefficients in a suitable representation. As applications of our cohomology, we study formal…
math.RA2016
Yetter-Drinfeld modules for weak Hom-Hopf algebras
Shuangjian Guo, Yizheng Li, Shengxiang Wang
The aim of this paper is to define and study Yetter-Drinfeld modules over weak Hom-Hopf algebras. We show that the category of Yetter-Drinfeld modules with bijec…