Maximal n-orthogonal modules for selfinjective algebras
Representation Theory
2007-05-23 v1
Abstract
Let A be a selfinjective algebra. We show that, for any n, maximal n-orthogonal A-modules (in the sense of Iyama), rarely exist. More precisely, we prove that if A admits a maximal n-orthogonal module, then all A-modules are of complexity at most 1.
Keywords
Cite
@article{arxiv.math/0603672,
title = {Maximal n-orthogonal modules for selfinjective algebras},
author = {Karin Erdmann and Thorsten Holm},
journal= {arXiv preprint arXiv:math/0603672},
year = {2007}
}
Comments
10 pages