
Journal of Lie Theory 14 (2004), No. 1, 287316 Copyright Heldermann Verlag 2004 The Structure of Parabolic Subgroups Kenneth D. Johnson The University of Georgia, Athens, GA 30602, U.S.A., ken@math.uga.edu Suppose G is a real connected simple noncompact Lie group with (using standard notation) Iwasawa decomposition G = KAN. If M is the intersection of Z(A) and K, the group B = MAN is a minimal parabolic subgroup of G. Since A is a vector group and N is a simply connected nilpotent group, the topological structure of B is determined by the structure of M. When G is a linear group the structure of M is well known. However, if G is not a linear group there is very little available information about M. Our purpose here is to give a description of the group M for any connected, simply connected, nonlinear simple group G. [ Fulltextpdf (274 KB)] for subscribers only. 