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Representations and cohomolgies of Rota-Baxter 3-Lie algebras (2204.03172v2)
Published 7 Apr 2022 in math.RA and math.RT
Abstract: The goal of the present paper is to investigate representations and cohomologies of Rota-Baxter 3-Lie algebras with any weight. We introduce representations, matched pairs and Manin triples of Rota-Baxter 3-Lie algebras. Furthermore, we discuss cohomology theory of Rota-Baxter 3-Lie algebras. The deformations and central extensions of Rota-Baxter 3-Lie algebras are also studied.
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