Rota---Baxter operators on $Cur(sl_2(\mathbb{C}))$

Anahtar Kelimeler:

Lie conformal algebra, Rota---Baxter operator, conformal classical Yang---Baxter equation

Rota---Baxter operators on $Cur(sl_2(\mathbb{C}))$

We classify all Rota---Baxter operators on the simple Lie conformal algebra $\Cur(\sl_2(\mathbb{C}))$ 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.

Keywords:

Lie conformal algebra, Rota---Baxter operator, conformal classical Yang---Baxter equation,

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