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arXiv · 1208.5032

Standard components of a Krull-Schmidt category

Shiping Liu·Charles Paquette
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Abstract

We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations of a strongly locally finite quiver and its bounded derived category, we obtain many new types of standard Auslander-Reiten components. An application to the module category of a finite-dimensional algebra yields some interesting results.

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Shiping Liu, Charles Paquette. 2012-08-24. Standard components of a Krull-Schmidt category. https://arxiv.org/abs/1208.5032

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