Representations and cohomology of n-ary multiplicative Hom-Nambu-Lie algebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Ammar, F.²  Mabrouk, S.²  Makhlouf, A.¹ 

[1] Univ Haute Alsace, Lab Math Informat & Applicat, F-68093 Mulhouse, France

[2] Univ Sfax, Fac Sci, Sfax, Tunisia

关键词: n-ary algebra;    n-ay Hom-Nambu-Lie algebra;    Deformation;    Cohomology;    Leibniz algebra;   

DOI  :  10.1016/j.geomphys.2011.04.022

来源: Elsevier

【 摘 要 】

The aim of this paper is to provide cohomologies of n-ary Hom-Nambu-Lie algebras governing central extensions and one parameter formal deformations. We generalize to n-ary algebras the notions of derivation and representation introduced by Sheng for Horn-Lie algebras. Also we show that a cohomology of n-ary Hom-Nambu-Lie algebras could be derived from the cohomology of Hom-Leibniz algebras. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free