Finiteness for parabolic group actions in classical groups. (Q5932151)
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scientific article; zbMATH DE number 1595307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finiteness for parabolic group actions in classical groups. |
scientific article; zbMATH DE number 1595307 |
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Finiteness for parabolic group actions in classical groups. (English)
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18 September 2001
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Let \(G\) be a simple classical algebraic group defined over an algebraically closed field. Let \(P\) be a parabolic subgroup of \(G\). The authors classify all instances where \(P\) acts with a finite number of orbits on the Lie algebra of the \(l\)th member of the descending central series of the unipotent radical of \(P\). For \(l=0\) such a classification is obtained by \textit{L. Hille} and \textit{G. Röhrle} [Transform. Groups 4, No. 1, 35--52 (1999; Zbl 0924.20035)].
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reductive algebraic groups
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parabolic subgroups
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number of orbits
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unipotent radicals
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