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A review on deformation quantization of coadjoint orbits of semisimple Lie groups

2001/11/12 by R. Fioresi, Fioresi, R., M. A. Lledó +2
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.math/0111132

Summary of the talks presented at "Rencontres Mathematiques de Glanon" (Glanon) (2001) (to appear in the Proceedings of the conference) and "XXVIII Reunion Bienal de la RSEF, Jornadas de Fisica Teorica", Sevilla, (2001). AMS-LaTeX, 15 pages

arxiv created 2001/11/12 · openalex publication_date 2001/11/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we make a review of the results obtained in previous works by the authors on deformation quantization of coadjoint orbits of semisimple Lie groups. We motivate the problem with a new point of view of the well known Moyal-Weyl deformation quantization. We consider only semisimple orbits. Algebraic and differential deformations are compared.

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