Let $G=SU(2,1)$. In this paper we parametrize irreducible unitary $(\mathfrak{g},K)$ modules of $G$. The parametrization is done in two steps. Firstly, we parametrize irreducible $(\mathfrak{g},K)$ modules (Theorem 10). In the second step we find unitary $(\mathfrak{g},K)$ modules (Theorem 18). One can compare our results with [4] and [5].
| Unitary $(\mathfrak{g},K)$ modules of $SU(2,1)$ | 661.5KB |