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Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights

Shuangjian Guo,Yufei Qin,Kai Wang,Guodong Zhou

Journal of Geometry and Physics（2023）

Cited 3|Views20
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Abstract
A cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights is introduced. Formal deformations, abelian extensions, skeletal Rota-Baxter 3-Lie 2-algebras and crossed modules of Rota-Baxter 3-Lie algebras are interpreted by using lower degree cohomology groups.
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16E40,16S80,12H05,16S70
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