Clebsch-Gordan quantum coefficients

On the basis of the investigation of the representations of the quantum group SL(2), one finds the qanalogues of the Majumdar, Racah-Fock, and van der Waerden formulas for the Clebsch-Gordan quantum coefficients. Their symmetry and particular values are investigated.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 168, pp. 67–84, 1988.