Fourier Transforms of Orbits of the Coadjoint Representation

  • Nicole Berline
  • Michele Vergne
Part of the Progress in Mathematics book series (PM, volume 40)


Let G be a compact Lie group with Lie algebra g. Let 0 ⊂ g* be an orbit of G under the coadjoint representation of maximal dimension 2n. For f ∈ 0, we denote by G(f) the stabilizer of f and t = ℊ(f) the Lie algebra of G(f). Let W be the Weyl group of (g, t). Recall that 0 is a symplectic manifold with a canonical 2-form σ.


Vector Field Weyl Group Symplectic Form Symplectic Manifold Cartan Subalgebra 
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© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • Nicole Berline
  • Michele Vergne

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