An explicit algebraic evaluation is given for all q-tensor operators (with unit norm) belonging to the quantum group Uq(u(n)) and having extremal operator shift patterns acting on arbitrary Uq(u(n)) irreps. These rather complicated results are shown to be easily comprehensible in terms of a diagrammatic calculus of patterns. A more conceptual derivation of these results is discussed using fundamental properties of the q−6j coefficients.
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Gould et al. (1992) studied this question.
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