2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219907Let G be a real form of a complex reductive group. Suppose that we are given involutions σand θof G. Let H=G^σdenote the fixed group of σand let K=G^θdenote the fixed group of θ. We are interested in calculating the double coset space H\backslash G/K. We use moment map and invariant theoretic techniques to calculate the double cosets, especially the ones that are closed. One salient point of our results is a stratification of a quotient of a compact torus over which the closed double cosets fiber as a collection of trivial bundles.18 pages, typos correctedRepresentation TheoryGroup Theory20G20, 22E15, 22E46, 53C35text