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

Do Duc Hanh
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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.

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Do Duc Hanh. 2003-05-26. Deformation quantization and quantum coadjoint orbits of SL(2,R). https://arxiv.org/abs/math/0305358

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