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Algebren, Darstellungsköcher, Ueberlagerungen und zurück
C. Riedtmann,C. Riedtmann +1 more
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This article is published in Commentarii Mathematici Helvetici.The article was published on 1980-12-01. It has received 317 citations till now.read more
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Tilting theory and cluster combinatorics
TL;DR: In this article, a new category C, called the cluster category, is introduced, which is obtained as a quotient of the bounded derived category D of the module category of a finite-dimensional hereditary algebra H over a field.
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Tilting theory and cluster combinatorics
TL;DR: In this paper, a new category C, called the cluster category, which is obtained as a quotient of the bounded derived category D of the module category of a finite-dimensional hereditary algebra H over a field, is introduced.
Journal ArticleDOI
Auslander-reiten sequences with few middle terms and applications to string algebrass
TL;DR: In this paper, the Auslander-reiten sequences with few middle terms and applications to string algebras are presented. But they do not have any application to string algebra.
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Indecomposable representations of graphs and algebras
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Coxeter functors and gabriel's theorem
TL;DR: In this article, the Coxeter-Weyl group and Dynkin diagrams are connected with the theory of infinite-dimensional Lie algebras. But they do not touch on the connections between these questions and group representations.
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Representation theory of artin algebras iii almost split sequences
Maurice Auslander,Idun Reiten +1 more
TL;DR: In this paper, the representation theory of artin algebras iii almost split sequences is studied and the authors propose a representation theory for almost-split sequences in algebraic graphs.
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Representation theory of artin algebras IV1)Invariants given by almost split sequences
Maurice Auslander,Idun Reiten +1 more
TL;DR: The representation theory of artin algebras has been studied in this paper, where invariants given by almost split sequences have been studied as a special case of almost-split sequences.