Cartan-decomposition subgroups of SU(2,n)
Representation Theory
2007-05-23 v1 Differential Geometry
Group Theory
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 the intersection of KHK with A, for each closed, connected subgroup H of G. This generalizes the work of Hee Oh and Dave Witte for G = SO(2,n).
Keywords
Cite
@article{arxiv.math/0007039,
title = {Cartan-decomposition subgroups of SU(2,n)},
author = {Alessandra Iozzi and Dave Witte},
journal= {arXiv preprint arXiv:math/0007039},
year = {2007}
}
Comments
Latex2e file, 38 pages, no figures