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arXiv · 0902.0518

Finite and bounded Auslander-Reiten Components in the Derived Category

Sarah Scherotzke
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Abstract

We analyze Auslander-Reiten components for the bounded derived category of a finite-dimensional algebra. We classify derived categories whose Auslander-Reiten quiver has either a finite stable component or a stable component with finite Dynkin tree class or a bounded stable component. Their Auslander-Reiten quiver is determined. We also determine components that contain shift periodic complexes.

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BibTeXRIS

Sarah Scherotzke. 2009-02-03. Finite and bounded Auslander-Reiten Components in the Derived Category. https://arxiv.org/abs/0902.0518

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