A Quotient Restriction Theorem for actions of real reductive groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208154We prove a version of the Chevalley Restriction Theorem for the action of a real reductive group G on a topological space X which locally embeds into a holomorphic representation. Assuming that there exists an appropriate quotient X//G for the G-action, we introduce a stratification which is defined with respect to orbit types of closed orbits. Our main result is a description of the quotient X//G in terms of quotients by normalizer subgroups associated to the stratification.14 pagesRepresentation Theory57S20; 53D20; 22E46A Quotient Restriction Theorem for actions of real reductive groupstext