On normal Abelian subgroups in parabolic groups
Let \(G\) be a reductive algebraic group over an algebraically closed field, \(P\) a parabolic subgroup of \(G\), and \(A\) a closed connected normal Abelian subgroup of \(P\) in the unipotent radical of \(P\). It is shown that \(P\) has only finitely many orbits on \(A\).
scientific article; zbMATH DE number 1227218
scientific article