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Published 2001 | public
Book Section - Chapter

Some Comments on the History, Theory, and Applications of Symplectic Reduction


In this Preface, 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], so the reader may find some important references omitted. This is inevitable in a subject that has grown so large and has penetrated so deeply both pure and applied mathematics, as well as into engineering and theoretical physics.

Additional Information

© Verlag, 2001. January 7, 2001. We thank Klaas Landsman for the invitation to write these introductory remarks for this exciting book. We hope that they will be especially useful for younger workers in the area. Some of this preface is taken, with some revision, from an introductory section in Marsden, Ratiu and Scheurle [2000]. We would like to thank Tudor Ratiu and Jürgen Scheuerle for their permission to use this material here.

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August 19, 2023
January 13, 2024