Standard components of a Krull-Schmidt category
Representation Theory
2012-08-27 v1
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.
Keywords
Cite
@article{arxiv.1208.5032,
title = {Standard components of a Krull-Schmidt category},
author = {Shiping Liu and Charles Paquette},
journal= {arXiv preprint arXiv:1208.5032},
year = {2012}
}
Comments
14 pages