  We perturbed N=(2,2) supersymmetric WZW and sigma models on Lie groups by
adding a term to their actions. Then by using non-coordinate basis we obtain
conditions, from the algebraic point of view, under which the N=(2,2)
supersymmetry is preserved. By applying this method, we have obtained
conditions on the existence of N=(2,2) supersymmetry on the Drinfeld action
(master action for the Poisson-Lie T-dual sigma models).
