On representation-finite algebras and beyond
Representation Theory
2013-02-06 v2
Abstract
We give a survey on the theory of representation-finite and certain minimal representation-infinite algebras.The main goals are the existence of multiplicative bases and of coverings with good properties. Both are attained via ray-categories. As applications we include a proof of a sharper version of the second Brauer-Thrall conjecture and of the fact that there are no gaps in the lengths of the indecomposable modules over an algebra.
Cite
@article{arxiv.1301.4088,
title = {On representation-finite algebras and beyond},
author = {Klaus Bongartz},
journal= {arXiv preprint arXiv:1301.4088},
year = {2013}
}