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

Authors : Vsevolod GUBAREV, Roman KOZLOV

Pages : 247-269

Doi:10.24330/ieja.1218727

View : 15 | Download : 9

Publication Date : 2023-01-09

Article Type : Research Paper

Abstract :We classify all Rota---Baxter operators on the simple Lie conformal algebra $\\Curinsert ignore into journalissuearticles values(\\sl_2insert ignore into journalissuearticles values(\\mathbb{C}););$ 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