A positive characteristic resolution problem for \(\text{SL}(3,k)\) (Q1375974)
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scientific article; zbMATH DE number 1106633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A positive characteristic resolution problem for \(\text{SL}(3,k)\) |
scientific article; zbMATH DE number 1106633 |
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A positive characteristic resolution problem for \(\text{SL}(3,k)\) (English)
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1 July 1998
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This article concerns the theory of rational representations of \(\text{SL}(3,k)\) in case \(\text{char }k=p>0\). For a given regular weight in the fundamental box the author constructs a complex of standard \(G_1B\)-modules with the property, that its highest non-vanishing homology is the irreducible representation with this highest weight and the characters of the other homology groups are known. The complexes remind of BGG-resolutions but they are not exact.
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BGG-resolutions
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restricted representations
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semisimple algebraic groups
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rational representations
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irreducible representations
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highest weights
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