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Journal of Lie Theory 11 (2001), No. 2, 505--543
Copyright Heldermann Verlag 2001

Cartan-Decomposition 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).

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