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 50 条

[31] Capable n-Lie algebras and the classification of nilpotent n-Lie algebras with s(A)=3
Darabi, Hamid
Saeedi, Farshid
Eshrati, Mehdi
JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 25 - 29
[32] On classification of n-Lie algebras
Bai, Ruipu
Song, Guojie
Zhang, Yaozhong
FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (04) : 581 - 606
[33] On deformations of Rota-Baxter algebra morphisms
Xv, Jiangnan
Bao, Yanhong
Du, Lei
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[34] DEFORMATIONS OF LIE ALGEBRA STRUCTURES
NIJENHUIS, A
RICHARDSON, RW
JOURNAL OF MATHEMATICS AND MECHANICS, 1967, 17 (01): : 89 - +
[35] Reduced n-Lie algebras
Saraiva, P
COMMUNICATIONS IN ALGEBRA, 2002, 30 (04) : 2057 - 2074
[36] Simple n-Lie algebras
Pozhidaev A.P.
Algebra and Logic, 1999, 38 (3) : 181 - 192
[37] ON FUZZIFICATION OF n-LIE ALGEBRAS
Shaqaqha, Shadi
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (3A): : 523 - 540
[38] COHOMOLOGY AND DEFORMATIONS OF LIE-SUPERALGEBRAS
BINEGAR, B
LETTERS IN MATHEMATICAL PHYSICS, 1986, 12 (04) : 301 - 308
[39] On classification of n-Lie algebras
Ruipu Bai
Guojie Song
Yaozhong Zhang
Frontiers of Mathematics in China, 2011, 6 : 581 - 606
[40] NILPOTENT n-LIE ALGEBRAS
Williams, Michael Peretzian
COMMUNICATIONS IN ALGEBRA, 2009, 37 (06) : 1843 - 1849

← 1 2 3 4 5 →