Generating Functions for Multi-j-Symbols

with x ∈ SU(2). The j1, j2, j3 are half integers and m1 = −j1, −j1 + 1, . . . , j1, etc. Obviously Eq. (1) depends on the explicit choice of the representations R(j). As usual we use Euler parameters to parameterize SU(2) and choose representations that are diagonal in the first and the third rotation: R mm′ (α, β, γ) = exp ( imα+ imγ ) djmm′ (β) , (2) DIAS, 10 Burlington Rd., Dubin 4, Ireland e-mail: [email protected]