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Journal of Lie Theory, Vol. 11, No. 2, pp. 505-543 (2001)
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#
Cartan-Decomposition Subgroups of SU(2,n)

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Alessandra Iozzi and Dave Witte

Department of Mathematics

University of Maryland

College Park, MD 20910 USA

Current address:

FIM

ETH Zentrum

CH-8092 Zürich Switzerland

iozzi@math.ethz.ch

and

Department of Mathematics

Oklahoma State University

Stillwater, OK 74078 USA

dwitte@math.okstate.edu

**Abstract:** 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 $CHC = G$. To do this, we fix a Cartan decomposition $G = K A^+ K$ of $G$, and then carry out an approximate calculation of $(KHK) \cap A^+$ for each closed, connected subgroup $H$ of $G$. This generalizes the work of H. Oh and D. Witte for $G = SO(2,n)$.

**Full text of the article:**

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