2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218447Let 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, GrenobleGroup TheoryRepresentation Theorytext