Flag spaces for reductive Lie groups (Q2767711)

Let \(G_{0}\) be a reductive Lie group of Harish-Chandra class, \(G\) the corresponding complex adjoint group and \(K\) the complexification of a maximal compact subgroup of \(G_{0}\). Let \(Y=G/P\) be a flag space, where \(P\) is a parabolic subgroup of \(G\). NEWLINENEWLINENEWLINEThe paper gives basic technical results on the structure and decomposition of the isotropy groups for the \(G_{0}\) and \(K\)-action in \(Y\).