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Rota-Baxter 3-Lie algebras
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In this paper, we introduce the concepts of a Rota-Baxter operator and differential operator with weights on an n-algebra. We then focus on Rota-Baxter 3-Lie algebras and show that they can be derived from Rota-Baxter Lie algebras and pre-Lie algebras and from Rota-Baxter commutative associative algebras with derivations. We also establish the inheritance property of Rota-Baxter 3-Lie algebras.
Title: Rota-Baxter 3-Lie algebras
Description:
In this paper, we introduce the concepts of a Rota-Baxter operator and differential operator with weights on an n-algebra.
We then focus on Rota-Baxter 3-Lie algebras and show that they can be derived from Rota-Baxter Lie algebras and pre-Lie algebras and from Rota-Baxter commutative associative algebras with derivations.
We also establish the inheritance property of Rota-Baxter 3-Lie algebras.
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