Dual Pairs

  • Juan-Pablo Ortega
  • Tudor S. Ratiu
Part of the Progress in Mathematics book series (PM, volume 222)

Abstract

The notion of polarity, as well as its use in the context of optimal reduction, can be seen as a particular case of a more general construction known generically as dual pair. This chapter reviews some of the definitions of the concept of dual pair encountered in the literature, the relations between them, and some of their applications in the context of momentum maps and reduction theory.

Keywords

Symplectic Manifold Poisson Structure Dual Pair Extension Property Poisson Manifold 
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Copyright information

© Juan Pablo Ortega and Tudor S. Ratiu 2004

Authors and Affiliations

  • Juan-Pablo Ortega
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.CNRS-Laboratoire de Mathématiques de BensançonUniversité de Franche-Comté, UFR des Sciences et TechniquesBensançon CedexFrance
  2. 2.Départment de MathématiquesLausanneSwitzerland

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