3 papers
math.RA2026
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…
math.GR2025
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…
math-ph2024
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…