Parabolic factorizations of split classical groups. (Q2849061)
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scientific article; zbMATH DE number 6208270
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parabolic factorizations of split classical groups. |
scientific article; zbMATH DE number 6208270 |
Statements
16 September 2013
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split classical groups
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elementary subgroup
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parabolic subgroups
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stability conditions
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unitary stable rank
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Gauss decompositions
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Bass-Kolster decompositions
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Dennis-Vaserstein decompositions
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Parabolic factorizations of split classical groups. (English)
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An analog of the Dennis-Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups in split classical groups, under appropriate stability conditions. Before, such decompositions were only known for pairs of terminal parabolic subgroups.
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