Finite and bounded Auslander-Reiten Components in the Derived Category

Details Finite and bounded Auslander-Reiten Components in the Derived Category Finite and bounded Auslander-Reiten Components in the Derived Category

2009-02-03

arxiv.org/abs/0902.0518v3

Mathematics

Representation Theory

21 pages, to appear in JPAA

Scientific paper

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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