%0 Journal Article %T On quantum group GL_{p,q}(2) %A Tanya Khovanova %J Mathematics %D 1997 %I arXiv %X In 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. %U http://arxiv.org/abs/q-alg/9701033v1