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

Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights
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DOI:
10.1016/j.geomphys.2022.104704
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发表时间:
2022-04
影响因子:
1.5
通讯作者:
Shuangjian Guo;Yufei Qin;Kai Wang;Guodong Zhou
Shuangjian Guo;Yufei Qin;Kai Wang;Guodong Zhou
中科院分区:
数学3区
文献类型:
--
作者:
Shuangjian Guo;Yufei Qin;Kai Wang;Guodong Zhou

文献摘要

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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.