Degenerate series representations of the universal covering group of SU(2, 2)

We prove a reducibility criterion for certain families of representations induced from irreducible finite dimensional representations of the 11-dimensional parabolic subgroup of the universal covering group of SU(2, 2). If an induced representation is reducible and can be considered as a representation of SU(2, 2) as well, we compute the number of composition factors.