On Auslander-Reiten components for group algebras
type: Item
instance of: scholarly article
title: On Auslander-Reiten components for group algebras
zbMATH Open document ID: 0839.20007
DOI: 10.1016/0022-4049(94)00133-7
author: Karin Erdmann
published in: Journal of Pure and Applied Algebra
publication date: 1996-06-10T00:00:00Z
review text: Let \(K\) be a field of characteristic \(p>0\), let \(G\) be a finite group, let \(B\) be a block of the group algebra \(KG\), and let \(\Theta\) be a component of the stable Auslander-Reiten quiver of \(B\). The author shows that the tree class of \(\Theta\) must be \(A_\infty\) whenever \(B\) has wild representation type. For blocks of finite and tame representation type, the possible tree classes of \(\Theta\) are also known, by earlier work.
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 16G70
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 825331
zbMATH Keywords: finite groups
zbMATH Keywords: blocks
zbMATH Keywords: group algebras
zbMATH Keywords: stable Auslander-Reiten quivers
zbMATH Keywords: tree class
zbMATH Keywords: wild representation type
reviewed by: Burkhard Külshammer
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)00133-7
OpenAlex ID: W2144757994
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description: scientific article; zbMATH DE number 825331