Asymptotic properties of Clebsch-Gordan and Racah coefficients of quantum group SU_q(2)

Abstract:
A series of formulas describing asymptotics of Clebsch-Gordan coefficients and Racah coefficients for tensor products of irreducible (finite-dimensional) representations of the quantum group SU_q(2) is given. Many of these formulas are analogues of the corresponding formulas for the classical Lie group SU(2).