On Nambu-Lie 3-algebra representations

Details On Nambu-Lie 3-algebra representations On Nambu-Lie 3-algebra representations

2008-06-23

arxiv.org/abs/0806.3520v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures, bibliography updated, some typo(s) corrected

Scientific paper

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.

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