Weyl Groups of Hamiltonian Manifolds , I

@inproceedings{Knop1997WeylGO,
  title={Weyl Groups of Hamiltonian Manifolds , I},
  author={Friedrich Knop},
  year={1997}
}
Let K be a compact connected Lie group and M a compact Hamiltonian K-manifold, i.e., a symplectic K-manifold equipped with a moment map μ : M → k. In this paper, we determine Col(M): the set of all functions on M which Poisson commute with all Kinvariant functions. For this, we construct a finite reflection group WM and show that Col(M) is completely determined by μ(M) and WM . More precisely, from μ(M) and WM we construct a topological space Y equipped with a differentiable structure (in fact… CONTINUE READING

From This Paper

Topics from this paper.
10 Citations
24 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 24 references

Kählerian potentials and convexity properties of the moment map

  • P. HH Heinzner, A. Huckleberry
  • Invent. Math
  • 1996

Hamiltonian actions of Lie groups

  • Y. Ka Karshon
  • PhD thesis,
  • 1993

Über Bewertungen , welche unter einer reduktiven Gruppe invariant sind

  • F. Knop
  • Math . Ann .
  • 1993

Über Bewertungen, welche unter einer reduktiven

  • F. Knop
  • Gruppe invariant sind. Math. Ann
  • 1993

Similar Papers

Loading similar papers…