\(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
type: Item
instance of: scholarly article
title: \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
zbMATH Open document ID: 0824.20039
DOI: 10.1007/BF02571915
author: Karin Erdmann
published in: Mathematische Zeitschrift
publication date: 1995-11-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174740
review text: 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.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 778956
zbMATH Keywords: highest weight categories
zbMATH Keywords: quasi-hereditary algebras
zbMATH Keywords: Weyl modules
zbMATH Keywords: highest weight
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 778956