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$n$-ary Hom-Nambu algebras

arXiv:1505.08168

Abstract

In this paper, we define $ω$-derivations, and study some properties of $ω$-derivations, with its properties we can structure a new $n$-ary Hom-Nambu algebra from an $n$-ary Hom-Nambu algebra. In addition, we also give derivations and representations of $n$-ary Hom-Nambu algebras.

16pages