Spherical conjugacy classes and Bruhat decomposition

Details Spherical conjugacy classes and Bruhat decomposition Spherical conjugacy classes and Bruhat decomposition

2008-08-13

arxiv.org/abs/0808.1818v2

Mathematics

Group Theory

Final version, to appear in Ann. Inst. Fourier, Grenoble

Scientific paper

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

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