Cartan-decomposition subgroups of SO(2,n)

1999/02/08 by Hee Oh, Oh, Hee, Dave Witte +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #math.DG #math.GR #math.RT #msc:22E40 #msc:53C30

paper · pdf · doi:10.48550/arxiv.math/9902049

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

arxiv created 1999/03/05 · arxiv updated 2009/11/30

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.

Cited by

• Compact Clifford-Klein forms of homogeneous spaces of SO(2,n)

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