2008/06/23 by Corneliu Sochichiu, Sochichiu, Corneliu
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.0806.3520
openalex publication_date 2008/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.