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Showing 2009 · math.RAShow all
3 papers · 2 filters
math.RA2009★ 101 cited
Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
Joakim Arnlind, Abdenacer Makhlouf, Sergei Silvestrov
The purpose of this paper is to investigate ternary multiplications constructed from a binary multiplication, linear twisting maps and a trace function. We provide a construction o…
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…
math.RA2009
The n-ary algebra of tensors and of cubic and hypercubic matrices
Nicolas Goze, Elisabeth Remm
We define a ternary product and more generally a (2k+1)-ary product on the vector space T^p_q(E) of tensors of type (p, q) that is contravariant of order p, covariant of order q an…