On simple-minded systems over representation-finite self-injective algebras
Representation Theory
2020-06-26 v1
Abstract
Let be a representation-finite self-injective algebra over an algebraically closed field . We give a new characterization for an orthogonal system in the stable module category - to be a simple-minded system. As a by-product, we show that every Nakayama-stable orthogonal system in - extends to a simple-minded system.
Keywords
Cite
@article{arxiv.2006.14289,
title = {On simple-minded systems over representation-finite self-injective algebras},
author = {Jing Guo and Yuming Liu and Yu Ye and Zhen Zhang},
journal= {arXiv preprint arXiv:2006.14289},
year = {2020}
}