Cohomology and deformations of n-Lie algebra morphisms

被引：14

作者：

Arfa, Anja ^{[1
]}

Ben Fraj, Nizar ^{[2
]}

Makhlouf, Abdenacer ^{[3
]}

机构：

[1] Univ Sfax, Fac Sci, Sfax, Tunisia

[2] Univ Carthage, Inst Preparatoire Etud Ingenieur Nabeul, Tunis, Tunisia

[3] Univ Haute Alsace, IRIMAS Dept Math, Mulhouse, France

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 132卷

关键词：

Cohomology; n-Lie algebra; Representation; Morphisms; Deformation;

D O I：

10.1016/j.geomphys.2018.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of n-Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of this paper is to define cohomology complexes and study deformation theory of n-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：64 / 74

页数：11

共 19 条

[1] Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras [J].