Construction of the noncommutative rank I Bergman domain

preprint2012arXivOpen access

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)D=SU(2,1)/U(2) with the method of coherent state quantization.

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