2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162396Let G be a real or complex linear algebraic reductive group. Let H and F be reductive subgroups. We study the natural H action on G/F. The main theorem of this note shows that generic H orbits are closed. This theorem is then applied to study representations of G, representations of H which are induced from representations of G, and intersections of reductive subgroups of G.v2: Added caveat at the beginning in regards to these results already existing in the literature. 8 pagesAlgebraic Geometry20G20; 14L24text