TL;DR
This paper provides a detailed parametrization of irreducible unitary (g,K) modules for the group SU(2,1), advancing the understanding of their structure and classification.
Contribution
It introduces a two-step parametrization process for irreducible (g,K) modules and identifies which are unitary, extending previous classifications.
Findings
Complete parametrization of irreducible (g,K) modules
Identification of unitary (g,K) modules within the parametrization
Comparison with existing results by Kraljevic
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 3). In the second step we find unitary (g,K) modules (Theorem 5). One can compare our results with results of Kraljevic.
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