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Geometric Methods in Physics XXXV pp 17–23Cite as

Birkhäuser

Berezin Symbols on Lie Groups

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Part of the book series: Trends in Mathematics ((TM))

Abstract

In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity in connection with some problems in representation theory of nilpotent Lie groups.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania

    Ingrid Beltiţă & Daniel Beltiţă

  2. Laboratoire de Mathématiques et Applications de Metz, UMR 7122, Université de Lorraine (campus de Metz) et CNRS, Bât. A, Ile du Saulcy, F-57045, Metz Cedex 1, France

    Benjamin Cahen

Authors
  1. Ingrid Beltiţă
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  2. Daniel Beltiţă
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  3. Benjamin Cahen
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Corresponding author

Correspondence to Ingrid Beltiţă .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV , Ciudad de México, Mexico

    Piotr Kielanowski

  2. University of Białystok, Białystok, Poland

    Anatol Odzijewicz

  3. Department of Mathematics and Statistics, Boston University, Boston, Massachusetts, USA

    Emma Previato

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Beltiţă, I., Beltiţă, D., Cahen, B. (2018). Berezin Symbols on Lie Groups. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXV . Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-63594-1_3

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