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 $sl(n+1,\mathbb{C})$.

arXiv commentThis is an expanding version of the previous one