Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights
Abstract
A cohomology theory of weighted Rota-Baxter 3-Lie algebras is introduced. Formal deformations, abelian extensions, skeletal weighted Rota-Baxter 3-Lie 2-algebras and crossed modules of weighted Rota-Baxter 3-Lie algebras are interpreted by using lower degree cohomology groups.
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