Construction of the noncommutative rank I Bergman domain

Abstract

In this paper we present a harmonic oscillator realization of the most degenerate discrete series representations of the SU(2,1) group and the deformation quantization of the coset space D = SU(2,1)/U(2) with the method of coherent state quantization. This short article is based on a talk given at the 9-th International Workshop, Varna "Lie Theory and Its Applications in Physics" (LT-9). © Springer Japan 2013.