2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153667In the Hopf algebra GL_{p,q}(2) the determinant is central iff p=q. In this case we put determinant to be equal to 1 to get SL_q(2). In this paper I consider the case when p/q is a root of unity; and, consequently, a power of the determinant is central.AmsTeX, 5 pagesQuantum AlgebraOn quantum group GL_{p,q}(2)text