ISSN: 1314-3344
+44-77-2385-9429
BAI Ruipu, CHENG Rong and ZHANG Yinghua
This paper studies Rota-Baxter operators on the simple 3-Lie algebras over the complex field. It is proved that there does not exist Rota-Baxter operators of weight zero with rank 3 on the simple 3-Lie algebras. And it provides the Rote-Baxter operators of weight zero with rank 1, 2, 4, respectively .