20 citations · 44 across the 11 of their papers we have counts for
15 papers
The van Est theorem for Rota-Baxter Lie groups
Jun Jiang
Rota-Baxter Lie groups are the group-level counterparts of Rota-Baxter Lie algebras of weight . In this paper, we first establish a correspondence between representations of Rot…
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…
Deformations of crossed homomorphisms on Lie groups
Jun Jiang
In this paper, we study deformations of crossed homomorphisms on Lie groups by means of the cohomology which controls them. Using the Moser type argument, we obtain several rigidit…
Rota-Baxter operators on crossed modules of Lie groups and categorical solutions of the Yang-Baxter equation
Jun Jiang
In this paper, we construct a categorical solution $(\huaC, R)$ of the Yang-Baxter equation, i.e. $\huaC$ is a small category and $R: \huaC\times\huaC\lon\huaC\times\huaC$ is an in…
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…
Deformation maps of quasi-twilled Lie algebras
Jun Jiang, Yunhe Sheng, Rong Tang
In this paper, we provide a unified approach to study the cohomology theories and deformation theories of various types of operators in the category of Lie algebras, including modi…
Relations for low-energy constants in baryon chiral perturbation theory with explicit derived from the chiral quark model
Jun Jiang, Shao-Zhou Jiang, Shi-Yuan Li +3
We study the relations between low-energy constants (LECs) in the chiral Lagrangians with and those in the quark-level description model up to the third chiral order. Ten…
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…
Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
Jun Jiang, Shao-Zhou Jiang, Shi-Yuan Li +3
The quark model symmetry can be adopted to establish relations between the low-energy constants (LECs) in the baryon chiral perturbation theory () if one assumes that a baryon…
Deformations of modified -matrices and cohomologies of related algebraic structures
Jun Jiang, Yunhe Sheng
Modified -matrices are solutions of the modified classical Yang-Baxter equation, introduced by Semenov-Tian-Shansky, and play important roles in mathematical physics. In this pa…
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…
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications
Jun Jiang, Yunhe Sheng
In this paper, first we give the notion of a representation of a relative Rota-Baxter Lie algebra and introduce the cohomologies of a relative Rota-Baxter Lie algebra with coeffici…
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…
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
Jun Jiang, Satyendra Kumar Mishra, Yunhe Sheng
In this paper, we introduce the notion of a (regular) Hom-Lie group. We associate a Hom-Lie algebra to a Hom-Lie group and show that every regular Hom-Lie algebra is integrable. Th…