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Rota Baxter operators of the simple 3-Lie algebra II

BAI Ruipu, CHENG Rong and Gao Yansha

This paper investigates the existence of Rota-Baxter operators on the simple 3-Lie algebra over the complex field. It provides the classification of all Rota-Baxter operators of weight zero with the rank 1, 2, 3, respectively. And it gives the concrete expression of every Rota-Baxter operators.