Spherical conjugacy classes and Bruhat decomposition

Abstract

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.

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

Cited by in corpus (2)

• A classification of spherical conjugacy classes in good characteristic
• A classification of unipotent spherical conjugacy classes in bad characteristic