Deformation quantization and quantum coadjoint orbits of SL(2,R)

Abstract

In this article we describe the coadjoint orbits of SL(2,$\mathbb{R}$). After choosing polarizations for each orbits, we pointed out the corresponding quantum coadjoint orbits and therefore unitary representations of SL(2,$\mathbb{R}$) via deformation quantization.

LaTeX2e, no figure