20 citations · 44 across the 11 of their papers we have counts for
6 papers · 1 filter
Non-abelian Extensions of Lie algebras with derivations
Jun Jiang, Kanghe Xu
In this paper, we investigate non-abelian extensions of Lie algebras with derivations from several different perspectives. We show that the theory of non-abelian extensions of a Li…
On the integration of relative Rota-Baxter Lie algebras
Jun Jiang, Yunhe Sheng, Chenchang Zhu
In this paper, we give the necessary and sufficient conditions of the integrability of relative Rota-Baxter Lie algebras via double Lie groups, matched pairs of Lie groups and fact…
Stability and rigidity of 3-Lie algebra morphisms
Jun Jiang, Yunhe Sheng, Geyi Sun
In this paper, first we use the higher derived brackets to construct an -algebra, whose Maurer-Cartan elements are -Lie algebra morphisms. Using the differential in th…
Cohomologies of difference Lie groups and van Est theorem
Jun Jiang, Yunnan Li, Yunhe Sheng
A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this paper, first we introduce…
Deformations, cohomologies and integrations of relative difference Lie algebras
Jun Jiang, Yunhe Sheng
In this paper, first using the higher derived brackets, we give the controlling algebra of relative difference Lie algebras, which are also called crossed homomorphisms or differen…
Lie theory and cohomology of relative Rota-Baxter operators
Jun Jiang, Yunhe Sheng, Chenchang Zhu
In this paper, we establish a local Lie theory for relative Rota-Baxter operators of weight . First we recall the category of relative Rota-Baxter operators of weight on Lie…