Closures of \(\text{SL}(2)\)-orbits in projective spaces (Q1895746)
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scientific article; zbMATH DE number 784076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closures of \(\text{SL}(2)\)-orbits in projective spaces |
scientific article; zbMATH DE number 784076 |
Statements
Closures of \(\text{SL}(2)\)-orbits in projective spaces (English)
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29 August 1995
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Let \(G = \text{SL} (2,\mathbb{C})\), and \(B\) a Borel subgroup. The author describes the closure of \(G\)-orbits and \(B\)-orbits in \(P(V)\), \(V\) being a regular \(G\)-module, by means of simple combinatorial data. The author also gives a criterion for determining whether the number of orbits in an orbit-closure is finite or not.
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closure of orbits
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regular module
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Borel subgroup
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number of orbits
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0.9147996
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0.90705496
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0.90677124
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0.89733446
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0.8909695
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0.88616264
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0.8859618
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