Covering techniques in Auslander-Reiten theory
Representation Theory
2019-11-14 v3
Abstract
Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.
Cite
@article{arxiv.1412.0188,
title = {Covering techniques in Auslander-Reiten theory},
author = {Claudia Chaio and Patrick Le Meur and Sonia Trepode},
journal= {arXiv preprint arXiv:1412.0188},
year = {2019}
}
Comments
Minor modifications. Final version to appear in the Journal of Pure and Applied Algebra