101 citations
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math.RA2010★ 101 cited
Representations and Cohomology of n-ary multiplicative Hom-Nambu-Lie algebras
F. Ammar, S. Mabrouk, A. Makhlouf
The aim of this paper is to provide cohomologies of -ary Hom-Nambu-Lie algebras governing central extensions and one parameter formal deformations. We generalize to -ary alge…
math.RA2009★ 18 cited
Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras
Faouzi Ammar, Abdenacer Makhlouf
The purpose of this paper is to study Hom-Lie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a pa…