Cartan-decomposition subgroups of SO(2,n)
Representation Theory
2007-05-23 v2 Differential Geometry
Group Theory
Abstract
For G = SL(3,R) and G = SO(2,n), we give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G has the property that there exists a compact subset C of G with CHC = G. To do this, we fix a Cartan decomposition G = KAK of G, and then carry out an approximate calculation of the intersection of KHK with A, for each closed, connected subgroup H of G.
Keywords
Cite
@article{arxiv.math/9902049,
title = {Cartan-decomposition subgroups of SO(2,n)},
author = {Hee Oh and Dave Witte},
journal= {arXiv preprint arXiv:math/9902049},
year = {2007}
}
Comments
Latex2e file, 32 pages, no figures; corrected error in the main theorems