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Spherical conjugacy classes and the Bruhat decomposition

Giovanna Carnovale — 2009

Annales de l’institut Fourier

Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G as those intersecting only Bruhat cells in G corresponding to involutions in the Weyl group of  G .

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