Generalization of n-ary Nambu algebras and beyond
Rings and Algebras
2015-05-13 v1 Representation Theory
Abstract
The aim of this paper is to introduce -ary Hom-algebra structures generalizing the -ary algebras of Lie type enclosing -ary Nambu algebras, -ary Nambu-Lie algebras, -ary Lie algebras, and -ary algebras of associative type enclosing -ary totally associative and -ary partially associative algebras. Also, we provide a way to construct examples starting from an -ary algebra and an -ary algebras endomorphism. Several examples could be derived using this process.
Cite
@article{arxiv.0812.4058,
title = {Generalization of n-ary Nambu algebras and beyond},
author = {H. Ataguema and A. Makhlouf and S. Silvestrov},
journal= {arXiv preprint arXiv:0812.4058},
year = {2015}
}