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…