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

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

2010-04-12

arxiv.org/abs/1004.2080v1

Journal of Geometry and Physics 62 (2012) 506-522

Mathematics

Rings and Algebras

23 pages

Scientific paper

10.1016/j.geomphys.2011.11.006

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.

Affiliated with

Also associated with

No associations

Rating

On n-ary Hom-Nambu and Hom-Nambu-Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On n-ary Hom-Nambu and Hom-Nambu-Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On n-ary Hom-Nambu and Hom-Nambu-Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280340