Lie Group Actions

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


One of the main themes of this book is the notion of symmetry. The main goal in the chapters at the core of this book is explaining to the reader how the symmetries of a Hamiltonian dynamical system can be used to simplify or reduce the study of that system. From the mathematical point of view the description of symmetries is implemented via the use of Lie group actions and, more generally, pseudogroups and groupoids. In the following two chapters we review all the material concerning these topics that will be needed in the rest of the book.


Orbit Space Isotropy Subgroup Left Action Coadjoint Representation Twisted Product 


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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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