Rota-Baxter operators on $\mathrm{Cur}({\mathrm{sl}}_2(\mathbb{C}))$

Abstract

We classify all Rota-Baxter operators on the simple conformal Lie algebra $\mathrm{Cur}({\mathrm{sl}}_2(\mathbb{C}))$ and clarify which of them arise from the solutions to the conformal classical Yang-Baxter equation due to the connection discovered by Y. Hong and C. Bai in 2020.

21 p

References in corpus (1)

• Conformal $r$-matrix-Nijenhuis structures, symplectic-Nijenhuis structures and $\mathcal{O}N$-structures