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

2003/05/26 by Do Duc Hanh, Hanh, Do Duc
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0305358

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arxiv created 2003/05/26 · openalex publication_date 2003/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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