On The Center And Its Non-zero Divisors Of Quantum Lie-superalgebra U_q(osp(1, 2n))

In this paper,we prove that the quantum Lie superalgebras Uq(osp(1,4)) (when q is generic) and Uq(osp(1,2)) have no zero divisors. And we explicitly describe the center of Uq(osp(1,2)) and calculate that [Frac(Z):Frac(Z0)]=l when q is the root of unity Finally, we describe the center of Uq(osp(1,2n)) when q is the root of unity.