On the infinite-dimensional hidden symmetries. III. q_R-conformal symmetries at q_R→∞ and Berezin-Karasev-Maslov asymptotic quantization of C^∞(S¹)

1997/02/02 by Denis V. Juriev, Juriev, Denis V.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #dg-ga #funct-an #math.DG #math.OA #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.funct-an/9702002

minor comments are inserted into the revised version; Part I:funct-an/9612004, II:funct-an/9701009

openalex publication_date 1997/02/02 · arxiv created 1997/02/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The relations between the infinite dimensional geometry of q_R-conformal symmetries at q_R→∞, Berezin quantization of the Lobachevskii plane and Karasev-Maslov asymptotic quantization are explicated. Some aspects of the ``approximate'' representation theory are discussed.

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