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Deformations and cohomology theory of Rota-Baxter $3$-Lie algebras of arbitrary weights
Published 1 Apr 2022 in math.KT, math.RA, and math.RT | (2204.00160v2)
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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