On Nambu-Lie 3-algebra representations
Abstract
Description
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
10 pages, no figures, bibliography updated, some typo(s) corrected