On Nambu-Lie 3-algebra representations
arXiv:0806.3520
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.
10 pages, no figures, bibliography updated, some typo(s) corrected