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.

Title changed to "Deformations and cohomology theory of Rota-Baxter $3$-Lie algebras of arbitrary weights" J. Geom. Phys. to appear

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Cited by in corpus (3)

• Cohomologies of modified $\lambda$-differential Lie triple systems and applications
• Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras
• Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras