Unitary (g, K) modules of SU(2, 1)

Abstract

Let G=SU(2,1). In this paper we parametrize irreducible unitary (g,K) modules of G. The parametrization is done in two steps. Firstly, we parametrize irreducible (g,K) modules (Theorem 10). In the second step we find unitary (g,K) modules (Theorem 18). One can compare our results with [4] and [5].