Dergiler / International Electronic Journal of Algebra / 2023 / Cilt: 33 Sayı: 33

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

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

Vsevolod GUBAREV, Roman KOZLOV

Sayfa
247–269
DOI
—

Abstract

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.

Anahtar kelimeler: Lie conformal algebra, Rota---Baxter operator, conformal classical Yang---Baxter equation