4 papers · 1 filter
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…