Lie Rota--Baxter operators on the Sweedler algebra $H_4$

Valeriy G. Bardakov, Igor M. Nikonov, Viktor N. Zhelaybin

If $A$ is an associative algebra, then we can define the adjoint Lie algebra $A^{(-)}$ and Jordan algebra $A^{(+)}$. It is easy to see that any associative Rota--Baxter operator on…