A construction by deformation of unitary irreducible representations of $SU(1,n)$ and $SU(n+1)$

Abstract

We recover the holomorphic discrete series representations of $SU(1,n)$ as well as some unitary irreducible representations of $SU(n+1)$ by deformation of a minimal realization of $sl(n+1, {\mathbb C})$.

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