2022
DOI: 10.48550/arxiv.2204.00160
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Deformations and cohomology theory of weighted Rota-Baxter $3$-Lie algebras

Shuangjian Guo1,
Yufei Qin2,
Kai Wang3
et al.

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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