Abstract
The algebra ofS U (3) is developed on the basis of the matrices λ i ofGell-Mann, and identities involving the tensorsd i j k andf i j k occurring in their multiplication law are derived. Octets and the tensor analysis of the adjoint groupS U (3)/Z(3) ofS U (3) are discussed. Various explicit parametrizations ofS U (3) are presented as generalizations of familiarS U (2) results.
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Macfarlane, A.J., Sudbery, A. & Weisz, P.H. On Gell-Mann's λ-matrices,d- andf-tensors, octets, and parametrizations ofS U (3). Commun.Math. Phys. 11, 77–90 (1968). https://doi.org/10.1007/BF01654302
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DOI: https://doi.org/10.1007/BF01654302