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

被引：7

作者：

Guo, Shuangjian ^{[1
]}

Qin, Yufei ^{[2
]}

Wang, Kai ^{[2
]}

Zhou, Guodong ^{[2
]}

机构：

[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 183卷

关键词：

Formal deformation; Cohomology; Rota -Baxter operator; 3-Lie algebra; Abelian extension; Cross module;

D O I：

10.1016/j.geomphys.2022.104704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：24

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