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A new approach to the Clebsch-Gordan problem for SU q (2) is proposed. The 'twisted' Clebsch-Gordan coefficients (TCGC) are defined to be the overlaps between 'twisted' connected and unconnected bases (being the q-analogues of rotated bases in standard SU(2)). The explicit expression for TCGC is found in terms of the basic hypergeometric function 4 Phi 3 (Racah q-polynomials).
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Granovskii et al. (1992) studied this question.
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