Simple-minded systems in stable module categories
Representation Theory
2010-09-09 v1
Abstract
Simple-minded systems in stable module categories are defined by orthogonality and generating properties so that the images of the simple modules under a stable equivalence form such a system. Simple-minded systems are shown to be invariant under stable equivalences; thus the set of all simple-minded systems is an invariant of a stable module category. The simple-minded systems of several classes of algebras are described and connections to the Auslander-Reiten conjecture are pointed out.
Cite
@article{arxiv.1009.1427,
title = {Simple-minded systems in stable module categories},
author = {Steffen Koenig and Yuming Liu},
journal= {arXiv preprint arXiv:1009.1427},
year = {2010}
}