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Abstract: We analyze Auslander-Reiten components for the bounded derived category of afinite-dimensional algebra. We classify derived categories whoseAuslander-Reiten quiver has either a finite stable component or a stablecomponent with finite Dynkin tree class or a bounded stable component. TheirAuslander-Reiten quiver is determined. We also determine components thatcontain shift periodic complexes.



Author: Sarah Scherotzke

Source: https://arxiv.org/







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