Cartan-decomposition subgroups of SO(2,n)

Details Cartan-decomposition subgroups of SO(2,n) Cartan-decomposition subgroups of SO(2,n)

1999-02-08

arxiv.org/abs/math/9902049v2

Mathematics

Representation Theory

Latex2e file, 32 pages, no figures; corrected error in the main theorems

Scientific paper

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.

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