A proof of the strong no loop conjecture
Representation Theory
2012-09-13 v1
Abstract
The strong no loop conjecture states that a simple module of finite projective dimension over an artin algebra has no non-zero self-extension. The main result of this paper establishes this well known conjecture for finite dimensional algebras over an algebraically closed field.
Cite
@article{arxiv.1103.5361,
title = {A proof of the strong no loop conjecture},
author = {Kiyoshi Igusa and Shiping Liu and Charles Paquette},
journal= {arXiv preprint arXiv:1103.5361},
year = {2012}
}
Comments
9 pages