$n$-ary Hom-Nambu algebras

Abstract

In this paper, we define $\omega$-derivations, and study some properties of $\omega$-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.

arXiv comment16pages

References in corpus (2)

• Representations of hom-Lie algebras
• Cohomology of Hom-Leibniz and $n$-ary Hom-Nambu-Lie superalgebras