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Realization of coherent state Lie algebras by differential operators

2005/04/04 by Stefan Berceanu, Berceanu, Stefan
Mathematics · Physics and Astronomy · #22E46 #32WXX #81R30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:22E46 #msc:32WXX #msc:81R30

paper · pdf · doi:10.48550/arxiv.math/0504053

26 pages, AMSART, AMS fonts, to appear in the Proceedings of the International Conference ``Operator Algebras and Mathematical Physics'', June 26 - July 04, 2003, Sinaia, Romania

arxiv created 2005/04/04 · openalex publication_date 2005/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A realization of coherent state Lie algebras by first-order differential operators with holomorphic polynomial coefficients on Kähler coherent state orbits is presented. Explicit formulas involving the Bernoulli numbers and the structure constants for the semisimple Lie groups are proved.

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