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Comments on the history, theory, and applications of symplectic reduction

  • Conference paper
Quantization of Singular Symplectic Quotients

Part of the book series: Progress in Mathematics ((PM,volume 198))

Abstract

We make some brief remarks about the history, theory and applications of symplectic reduction. We concentrate on developments surrounding our paper [Marsden and Weinstein (1974)] and the closely related work of [Meyer (1973)].

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Authors and Affiliations

  1. Control and Dynamical Systems 107-81, California Institute of Technology, Pasadena, CA, 91125, USA

    Jerrold E. Marsden

  2. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    Alan Weinstein

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  1. Jerrold E. Marsden
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  2. Alan Weinstein
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Editor information

Editors and Affiliations

  1. Korteweg-de Vries Instituut voor Wiskunde, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    N. P. Landsman

  2. Mathematisch-Naturwissenschaftliche Fakultät II Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    M. Pflaum

  3. Fakultät für Mathematik und Informatik, Universität Mannheim, D7, 27, 68131, Mannheim, Germany

    M. Schlichenmaier

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Marsden, J.E., Weinstein, A. (2001). Comments on the history, theory, and applications of symplectic reduction. In: Landsman, N.P., Pflaum, M., Schlichenmaier, M. (eds) Quantization of Singular Symplectic Quotients. Progress in Mathematics, vol 198. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8364-1_1

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