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Poisson Reduction

  • Chiara Esposito
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this paper we develop a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu’s momentum map allow us to define a Poisson reduced space.

Keywords

Momentum map reduction Poisson Lie groups 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Chiara Esposito
    • 1
  1. 1.Institut für Mathematik Lehrstuhl für Mathematik XUniversität WürzburgWürzburgGermany

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