Extension of the Draayer-Akiyama procedure for the uq(3) algebra

R. M. Asherova, Stt. Res. Ctr. Inst. Phys. Pwr. Eng.
J. P. Draayer, Louisiana State University
Yu I. Kharitonov, Petersburg Nuclear Physics Institute (PNPI)
Yu F. Smirnov, Lomonosov Moscow State University


The well-known Draayer-Akiyama approach to calculating u(3) Wigner coefficients is extended to the uq(3) quantum algebra. The analytic formula for special "seed" uq(3) Wigner coefficients that was presented by the authors elsewhere is simplified by reducing a triple sum to a single sum. The resulting formulation can be used as a starting point for a new generation Draayer-Akiyama-like code for u(3) and uq(3) Wigner coefficients.