AN ALTERNATIVE DESCRIPTION OF THE QUANTUM GROUP SUQ(2) AND THE Q-ANALOG RACAH-WIGNER ALGEBRA

A set of generators of the quantum group SUq(2) is presented which yields the q-analog Racah-Wigner (RW) algebra. While the standard specification of SUq(2) requires separate treatment for different components of a tensor, the present approach gives unified treatment of tensor algebra. Clebsch-Gordan (CG) and Racah coefficients are extensively used. This unified treatment is crucial to formulate the q-analog irreducible tensor operator and Wigner-Eckart theorem. Witten's specification of SUq(2), exploited in rational conformal field theories (RCFT), is realized in the present approach. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.