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
收藏
页码：64 / 74
页数：11
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