
Journal of Lie Theory 11 (2001), No. 2, 505543 Copyright Heldermann Verlag 2001 CartanDecomposition Subgroups of SU(2,n) Alessandro Iozzi Dept. of Mathematics, University of Maryland, College Park, MD 20910, U.S.A. Dave Witte Dept. of Mathematics, Oklahoma State University, Stillwater, OK 74078, U.S.A. We give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G = SU(2, n) has the property that there exists a compact subset C of G with CHC = G. For this purpose we fix a Cartan decomposition G = K A^{+} K of G, and then carry out an approximate calculation of the intersection of (KHK) and A^{+} for each closed, connected subgroup H of G. This generalizes the work of H. Oh and D. Witte for G = SO(2, n). [ Fulltextpdf (333 KB)] for subscribers only. 