An Intrinsic Approach To The Boundaries of X
Identifieur interne : 001801 ( Main/Exploration ); précédent : 001800; suivant : 001802An Intrinsic Approach To The Boundaries of X
Auteurs : Yves Guivarc [France] ; Lizhen Ji [États-Unis] ; J. C. Taylor [Canada]Source :
- Progress in Mathematics ; 1998.
Abstract
Abstract: It is well-known that any symmetric space X of non-compact type can be realized as the space So of maximal compact subgroups by associating with g · o its isotropy subgroup gKg-1. The space S of closed subgroups of G is compact in the topology of Hausdorff convergence on the compact subsets of G. As a result, the closure $$\overline {{S_0}} $$ is a compactification of X.
Url:
DOI: 10.1007/978-1-4612-2452-5_9
Affiliations:
- Canada, France, États-Unis
- Michigan, Québec, Région Bretagne
- Montréal, Rennes
- Université McGill, Université de Rennes 1
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract: It is well-known that any symmetric space X of non-compact type can be realized as the space So of maximal compact subgroups by associating with g · o its isotropy subgroup gKg-1. The space S of closed subgroups of G is compact in the topology of Hausdorff convergence on the compact subsets of G. As a result, the closure $$\overline {{S_0}} $$ is a compactification of X.</div>
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