On quantum group GL_{p,q}(2)

Mathematics – Quantum Algebra

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Scientific paper

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.

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