Rota-Baxter operators on $sl(2,C)$ and solutions of the classical Yang-Baxter equation

Jun Pei, Chengming Bai, Li Guo

We explicitly determine all Rota-Baxter operators (of weight zero) on $sl(2,C)$ under the Cartan-Weyl basis. For the skew-symmetric operators, we give the corresponding skew-symmet…