Extensions of hereditary algebras
type: Item
instance of: scholarly article
title: Extensions of hereditary algebras
zbMATH Open document ID: 0549.16018
DOI: 10.1007/BF01174587
author: Nikolaos Marmaridis
published in: Manuscripta Mathematica
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155005
review text: Let k be an algebraically closed field, B the path algebra over k of an oriented Dynkin diagram of type \(E_ 6,E_ 7\), or \(E_ 8\), and M an indecomposable right B-module. The author determines the representation type (finite, tame or wild) of the matrix algebra \(\left( \begin{matrix} k\\ 0\end{matrix} \begin{matrix} M\\ B\end{matrix} \right)\) for all possible orientations B and indecomposable modules M. The results are presented in a classification table. The proof is based on the techniques of tilting modules.
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 3875481
zbMATH Keywords: path algebra
zbMATH Keywords: oriented Dynkin diagram
zbMATH Keywords: representation type
zbMATH Keywords: matrix algebra
zbMATH Keywords: indecomposable modules
zbMATH Keywords: tilting modules
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3875481