Free field representation of osp(2|1) and Uq(osp(2|1)) and N = 1 (q-)superstring correlation functions

The free field realization of irreducible representations of osp(2|1) is constructed, by a unified and systematic scheme. The q-analog of this unified scheme is used to construct q-free field realization of irreducible representations of Uq(osp(2|1)). By using these realization, the two-point function of N = 1 superconformal (q-superconformal) model based on osp(2|1) (Uq(osp(2|1))) symmetry have been calculated.