Open Access
2015 Non-Commutative Ternary Nambu-Poisson Algebras and Ternary Hom-Nambu-Poisson Algebras
A Makhlouf, A Amri
Author Affiliations +
J. Gen. Lie Theory Appl. 9(1): 1-8 (2015). DOI: 10.4172/1736-4337.1000221


The main purpose of this paper is to study non-commutative ternary Nambu-Poisson algebras and their Homtype version. We provide construction results dealing with tensor product and direct sums of two (non- commutative) ternary (Hom-) Nambu-Poisson algebras. Moreover, we explore twisting principle of (non-commutative) ternary Nambu-Poisson algebras along with algebra morphism that lead to construct (non-commutative) ternary Hom- Nambu-Poisson algebras. Furthermore, we provide examples and a 3-dimensional classification of non-commutative ternary Nambu-Poisson algebras.


Download Citation

A Makhlouf. A Amri. "Non-Commutative Ternary Nambu-Poisson Algebras and Ternary Hom-Nambu-Poisson Algebras." J. Gen. Lie Theory Appl. 9 (1) 1 - 8, 2015.


Published: 2015
First available in Project Euclid: 30 September 2015

zbMATH: 06499580
MathSciNet: MR3624043
Digital Object Identifier: 10.4172/1736-4337.1000221

Keywords: $n$-ary , Hom-nambu poisson algebra , Non-commutative ternary , Ternary nambu poisson

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.9 • No. 1 • 2015
Back to Top