Cartan-decomposition subgroups of \(\mathrm{SU}(2,n)\) (Q2730497)
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scientific article; zbMATH DE number 1631355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cartan-decomposition subgroups of \(\mathrm{SU}(2,n)\) |
scientific article; zbMATH DE number 1631355 |
Statements
15 August 2001
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simple linear real Lie group
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Cartan decomposition subgroup
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Cartan-decomposition subgroups of \(\mathrm{SU}(2,n)\) (English)
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Let \(G\) be a simple linear real Lie group. A closed subgroup \(H\) is called a Cartan decomposition subgroup of \(G\), if \(H\) is connected and if there is a compact subset \(C\) of \(G\) such that \(CHC= G\). The paper under review gives explicit, practical conditions that determine whether \(H\) is a Cartan decomposition subgroup for \(G= \mathrm{SU}(2,n)\). This is a generalization of the work of \textit{H. Oh} and \textit{D. Witte} [Int. Math. Res. Not. 2000, 235--251 (2000; Zbl 0957.22019)] for \(G= \mathrm{SO}(2,n)\).
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