Finite and bounded Auslander-Reiten Components in the Derived Category
Representation Theory
2010-03-29 v3 Rings and Algebras
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.
Cite
@article{arxiv.0902.0518,
title = {Finite and bounded Auslander-Reiten Components in the Derived Category},
author = {Sarah Scherotzke},
journal= {arXiv preprint arXiv:0902.0518},
year = {2010}
}
Comments
21 pages, to appear in JPAA