On Nambu-Lie 3-algebra representations
High Energy Physics - Theory
2008-07-03 v2
Abstract
We propose a recipe to construct matrix representations of Nambu--Lie 3-algebras in terms of irreducible representations of underlying Lie algebra. The case of Euclidean four-dimensional 3-algebra is considered in details. We find that representations of this 3-algebra are not possible in terms of only Hermitian matrices in spite of its Euclidean nature.
Keywords
Cite
@article{arxiv.0806.3520,
title = {On Nambu-Lie 3-algebra representations},
author = {Corneliu Sochichiu},
journal= {arXiv preprint arXiv:0806.3520},
year = {2008}
}
Comments
10 pages, no figures, bibliography updated, some typo(s) corrected