Flag duality
Let \(G\) be a complex semi-simple group, \(Q\) a parabolic subgroup and \(Z=G/Q\) the associated flag manifold. If \(G_0\) is a real form, then it has open orbits in \(Z\). The authors introduce a duality on complex flag manifolds which is an extension of the usual point-hyperplane duality of complex projective spaces. This allows to study these open orbits when these flag domains are not measurable.
scientific article; zbMATH DE number 1530055