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Basic Definitions and Examples

  • Victor Guillemin
Part of the Progress in Mathematics book series (PM, volume 122)

Abstract

Let G be a compact connected Lie group, g its Lie algebra, and g* the vector space dual of g. G acts on g by its adjoint action and on g* by the dual coadjoint action. The orbits of this action are compact simply-connected submanifolds of g*, and from now on we will refer to them simply as “coadjoint orbits.”

Keywords

Symplectic Form Symplectic Manifold Coadjoint Orbit Hamiltonian Action Combinatorial Invariant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Victor Guillemin
    • 1
  1. 1.Department of MathematicsMITCambridgeUSA

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