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

Shuangjian Guo; Yufei Qin; Kai Wang; Guodong Zhou

doi:10.1016/j.geomphys.2022.104704

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

Shuangjian Guo
, Yufei Qin
, Kai Wang^*
, Guodong Zhou

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Article number	104704
Journal	Journal of Geometry and Physics
Volume	183
DOIs	https://doi.org/10.1016/j.geomphys.2022.104704
State	Published - Jan 2023

Keywords

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

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10.1016/j.geomphys.2022.104704

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title = "Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights",

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.",

keywords = "3-Lie algebra, Abelian extension, Cohomology, Cross module, Formal deformation, Rota-Baxter operator",

author = "Shuangjian Guo and Yufei Qin and Kai Wang and Guodong Zhou",

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AU - Guo, Shuangjian

AU - Qin, Yufei

AU - Wang, Kai

AU - Zhou, Guodong

PY - 2023/1

Y1 - 2023/1

N2 - 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.

AB - 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.

KW - 3-Lie algebra

KW - Abelian extension

KW - Cohomology

KW - Cross module

KW - Formal deformation

KW - Rota-Baxter operator

UR - https://www.scopus.com/pages/publications/85141243232

U2 - 10.1016/j.geomphys.2022.104704

DO - 10.1016/j.geomphys.2022.104704

M3 - 文章

AN - SCOPUS:85141243232

SN - 0393-0440

VL - 183

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104704

ER -

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

Abstract

Keywords

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