Abstract
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.
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© 1983 Birkhäuser Boston, Inc.
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Berline, N., Vergne, M. (1983). Fourier Transforms of Orbits of the Coadjoint Representation. In: Trombi, P.C. (eds) Representation Theory of Reductive Groups. Progress in Mathematics, vol 40. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6730-7_4
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DOI: https://doi.org/10.1007/978-1-4684-6730-7_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3135-2
Online ISBN: 978-1-4684-6730-7
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