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arXiv · 1004.2080

On n-ary Hom-Nambu and Hom-Nambu-Lie algebras

Donald Yau
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Abstract

It is observed that the category of n-ary Hom-Nambu(-Lie) algebras is closed under twisting by self-weak morphisms. Constructions of ternary Hom-Nambu algebras from Hom-associative algebras, Hom-Lie algebras, ternary totally Hom-associative algebras, and Hom-Jordan triple systems are given. Every multiplicative n-ary Hom-Nambu algebra gives rise to a sequence of Hom-Nambu algebras of exponentially higher arities. Under some conditions, an n-ary Hom-Nambu(-Lie) algebra gives rise to an (n-1)-ary Hom-Nambu(-Lie) algebra.

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Donald Yau. 2010-04-12. On n-ary Hom-Nambu and Hom-Nambu-Lie algebras. https://doi.org/10.1016/j.geomphys.2011.11.006

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