Abstract

AbstractRecall that the goal of representation theory is to classify the indecomposable modules and the morphisms between them. The Auslander–Reiten quiver is a first approximation of the module category. If the quiver is of finite representation type, then the Auslander–Reiten quiver gives a complete picture of the module category.KeywordsAuslander-Reiten QuiverFinite Representation TypeIndecomposable ModulesIrreducible MorphismsCoxeter TransformationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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