Homogeneous Rota-Baxter operators on $3$-Lie algebra $A_{\omega }$

Ruipu Bai, Yinghua Zhang

In the paper we study homogeneous Rota-Baxter operators with weight zero on the infinite dimensional simple $3$-Lie algebra $A_{\omega }$ over a field $F$ ( $chF=0$ ) which is realized by…