Double coset density in reductive algebraic groups (Q1904239)
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scientific article; zbMATH DE number 827376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Double coset density in reductive algebraic groups |
scientific article; zbMATH DE number 827376 |
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Double coset density in reductive algebraic groups (English)
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14 July 1997
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Let \(G\) be a connected reductive algebraic group over an algebraically closed field of arbitrary characteristic and \(X\) a proper reductive subgroup. The main result of the paper is the following theorem: There is no dense \((X,X)\)-double coset in \(G\), and in particular there are infinitely many \((X,X)\)-double cosets.
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affine varieties
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double cosets
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connected reductive algebraic groups
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reductive subgroups
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