Extensions between simple modules for Frobenius kernels (Q1183077)
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scientific article; zbMATH DE number 32678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions between simple modules for Frobenius kernels |
scientific article; zbMATH DE number 32678 |
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Extensions between simple modules for Frobenius kernels (English)
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28 June 1992
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Let \(G\) be a simply connected and connected semisimple group over an algebraically closed field \(k\) of characteristic \(p > 0\). The author calculates the socle series of the Weyl modules with \(p\)-singular highest weight for the group of type \(G_ 2\) by studying the extensions between simple modules for the Frobenius kernels.
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connected semisimple group
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socle series
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Weyl modules
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\(p\)-singular highest weight
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simple modules
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Frobenius kernels
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