Clebsch-Gordan coefficients symmetry relations

For a given j, we may also consider the case with an orbital angular momentum quantum number V larger than j so that j = I — (thus, Z = Z + 1 if j shall adopt the same value as before). However, for j = 1 — and V > 0, we cannot exploit Eq. (4.142) directly, but need to rearrange the Clebsch-Gordan coefficient first so that the constraint for Eq. (4.142), J = ji + )2, is fulfilled. From well-known symmetry relations for Clebsch-Gordan coefficients [75] we find... 

Usine symmetry relations, Clebsch-Gordan coefficients... 

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