Minimality and unique ergodicity for subgroup actions (Q1272266)
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scientific article; zbMATH DE number 1227221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimality and unique ergodicity for subgroup actions |
scientific article; zbMATH DE number 1227221 |
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Minimality and unique ergodicity for subgroup actions (English)
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29 November 1998
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In the paper the following theorem is proved: Let \(G\) be a reductive algebraic \(R\)-group with compact center and let \(H\) be an \(R\)-subgroup of \(G\). Let \(H\) and \(G\) denote \(H^0_R\) and \(G^0_R\) , respectively, and let \(\Gamma\) be a lattice in \(G\). If the action of \(H\) on \(G/\Gamma\) is minimal then it is uniquely ergodic.
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minimal action
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uniquely ergodic
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homogeneous space
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reductive algebraic \(R\)-group
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lattice
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