Reflections and torsion theories for selfinjective algebras
Representation Theory
2015-11-06 v2
Abstract
We introduce the notion of reflections for selfinjective algebras from the point of view of torsion theories induced by two-term tilting complexes. As an application, we determine the transformations of Brauer trees associated with reflections. In particular, we provide a way to transform every Brauer tree into a Brauer line.
Cite
@article{arxiv.1005.4281,
title = {Reflections and torsion theories for selfinjective algebras},
author = {Hiroki Abe},
journal= {arXiv preprint arXiv:1005.4281},
year = {2015}
}
Comments
20 pages