On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
Rings and Algebras
2011-12-20 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1004.2080,
title = {On n-ary Hom-Nambu and Hom-Nambu-Lie algebras},
author = {Donald Yau},
journal= {arXiv preprint arXiv:1004.2080},
year = {2011}
}
Comments
23 pages