A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical (Q1288191)
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scientific article; zbMATH DE number 1286198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical |
scientific article; zbMATH DE number 1286198 |
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A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical (English)
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10 November 1999
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Let \(G\) be a classical algebraic group over an algebraically closed field. The authors classify all instances when a parabolic subgroup \(P\) of \(G\) acts on its unipotent radical \(P_u\), or on \(\mathfrak p_u\), the Lie algebra of \(P_u\), with only a finite number of orbits, and furthermore obtain a combinatorial formula for the number of orbits in the finite cases for general linear groups.
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algebraic groups
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parabolic subgroups
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unipotent radicals
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numbers of orbits
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general linear groups
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0.9056105
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0.8968341
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0.89490926
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0.89381117
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0.89376944
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