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Inventiones mathematicae

, Volume 98, Issue 2, pp 281–292 | Cite as

Convexity and unitary representations of nilpotent Lie groups

  • N. J. Wildberger
Article

Summary

The moment map of symplectic geometry is extended to associate to any unitary representation of a nilpotent Lie group aG-invariant subset of the dual of the Lie algebra. We prove that this subset is the closed conex hull of the Kirillov orbit of the representation.

Keywords

Hull Unitary Representation Symplectic Geometry Conex 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • N. J. Wildberger
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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