A simple solution to the eigenvalue problem posed by a set of operators which have the commutation rules of SU(3) is developed. The analogy with the more familiar problem for SU(2), i.e., angular momentum, is used as a guide. The set of labels used to describe the states in an irreducible representation admits of a folded-ladder interpretation that is particularly transparent. Finally the dimensionality formula and the effect of complex conjugation are derived.

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