Construction of the noncommutative rank I Bergman domain

Physics – Mathematical Physics

Scientific paper

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8 pages, based on a talk at the Workshop "Lie Theory and Its Applications in Physics" (LT-9), Varna. To appear in the proceedi

Scientific paper

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.

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