Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
type: Item
instance of: scholarly article
title: Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
zbMATH Open document ID: 0601.16022
DOI: 10.1007/BF01166463
author: Ibrahim Assem
author: Andrzej Skowroński
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183692
review text: We classify the iterated tilted algebras of type \({\tilde {\mathbb{A}}}_ n\), that is to say, those algebras which come from a hereditary algebra of type \({\tilde {\mathbb{A}}}_ n\) by a finite number of tilts. These algebras are classified by their bound quivers using the representation theory of biserial algebras, tilting theory and covering techniques. In the representation-finite case, we also give a characterization of these algebras in terms of Auslander-Reiten quivers.
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 3968828
zbMATH Keywords: iterated tilted algebras
zbMATH Keywords: hereditary algebra
zbMATH Keywords: bound quivers
zbMATH Keywords: representation theory of biserial algebras
zbMATH Keywords: representation-finite
zbMATH Keywords: Auslander-Reiten quivers
MaRDI profile type: Publication
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OpenAlex ID: W94595170
description: scientific article; zbMATH DE number 3968828