3 papers
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…
math.DG2019
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…