English

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

R2 v1 2026-06-21T21:55:00.382Z