\(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\) (Q1894825)
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scientific article; zbMATH DE number 778956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\) |
scientific article; zbMATH DE number 778956 |
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\(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\) (English)
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1 November 1995
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Let \(G = \text{SL}_ 2 (K)\) where \(K\) is an algebraically closed field of characteristic \(p\). Let \(\Delta (\lambda)\) be the Weyl module of \(G\) with highest weight \(\lambda\). We determine \(\text{Ext}^ 1_ G (\Delta (\lambda), \Delta (\mu))\) for arbitrary \(\lambda\) and \(\mu\). In particular we show that the dimension is at most 1.
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highest weight categories
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quasi-hereditary algebras
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Weyl modules
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highest weight
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