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Cartan-decomposition subgroups of SO(2,n) | | Hee Oh
; Dave Witte
; | | Date: |
8 Feb 1999 | | Subject: | Representation Theory; Differential Geometry; Group Theory MSC-class: 22E40 (Primary); 53C30 (Secondary) | math.RT math.DG math.GR | | 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. | | Source: | arXiv, math.RT/9902049 | | Services: | Forum | Review | PDF | Favorites | |
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