Structural properties of the self-conjugate SU(3) tensor operators

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Abstract
Denominator functions for the set of self‐conjugate SU(3) tensor operators are explicitly obtained and shown to be uniquely related to SU(3) ‐invariant structural properties. This relationship becomes manifest through the appearance of zeroes of the denominator functions which thereby express the fundamental null space properties of SU(3) tensor operators. It is demonstrated that there exist characteristic denominator functions whose zeroes, in position and multiplicity, possess the interesting, and unexpected, property of forming SU(3) weight space patterns (in which the zeroes play the role of weights).