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A comparison between star products on regular orbits of compact Lie groups*

2001/06/30 by R. Fioresi, M. A. Lledo, M A Lled oacute
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Differential (mechanical device) #Homomorphism #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Physics #Product (mathematics) #Pure mathematics #Star (game theory) #Star product #hep-th #math.QA

paper · pdf · doi:10.1088/0305-4470/35/27/310

published as J.Phys.A35:5687-5700,2002 · AMS-LaTeX, 19 pages. Version to appear in the Journal of Physics A

arxiv created 2002/05/20 · openalex publication_date 2002/06/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, an algebraic and a differential star product defined on a regular coadjoint orbit of a compact semisimple group are compared. It has been proved that there is an injective algebra homomorphism between the algebra of polynomials with the algebraic star product and the algebra of differential functions with the differential star product structure.

Citations