Possible contractions of SU(2) х U(1) group

The group SU(2) Ч U(1) over the Pimenov algebra D2 with the nilpotent commutative generators is discussed. Two sets of the contraction parameters which give nonisomorphic contracted groups and different fundamental representation spaces are considered. The fundamental representations of the contracted groups corresponding to the nilpotent values of the contraction parameters are regarded in detail.