  We obtain a closed form expression of the universal T-matrix encapsulating
the duality of the quantum superalgebra U_q[osp(1/2)] and the corresponding
supergroup OSp_q(1/2). The classical q-->1 limit of this universal T-matrix
yields the group element of the undeformed OSp(1/2) supergroup. The finite
dimensional representations of the quantum supergroup OSp_q(1/2) are readily
constructed employing the said universal T-matrix and the known finite
dimensional representations of the dually related deformed U_q[osp(1/2)]
superalgebra. Proceeding further, we derive the product law, the recurrence
relations and the orthogonality of the representations of the quantum
supergroup OSp_q(1/2). It is shown that the entries of these representation
matrices are expressed in terms of the little Q-Jacobi polynomials with Q = -q.
Two mutually complementary singular maps of the universal T-matrix on the
universal R-matrix are also presented.
