Clebsch-Gordan coefficients and related identities obtained by an integration over the group space of SU q (2)

The Clebsch–Gordan coefficients of SUq(2) are here calculated by an integration over the group manifold following the Woronowicz prescription. A representation is obtained that is different from the one derived from the q‐group algebra. The equivalency of the two results implies a q‐identity and establishes a relation between q‐hypergeometric functions. In the limit q=1, our result gives a different expression for the Clebsch–Gordan coefficients of SU(2), and the q‐identity relation reduces to an identity between binomial coefficients. The Woronowicz technique is extended to calculate the integral of the product of many irreducible representations. A summary of the main results has already been presented elsewhere.