On selfinjective algebras of stable dimension zero
Representation Theory
2010-11-25 v2 Rings and Algebras
Abstract
Let be a selfinjective algebra over an algebraically closed field. We study the stable dimension of , which is the dimension of the stable module category of in the sense of Rouquier. Then we prove that is representation-finite if the stable dimension of is .
Keywords
Cite
@article{arxiv.1004.1723,
title = {On selfinjective algebras of stable dimension zero},
author = {Michio Yoshiwaki},
journal= {arXiv preprint arXiv:1004.1723},
year = {2010}
}