作为高阶Auslander代数的线性Nakayama代数
表示论
2021-10-15 v2
摘要
若Artin代数A的整体维数与支配维数相等，则称其为高阶Auslander代数。若线性Nakayama代数的Kupisch序列先增后减，则称其为单调的。我们将对作为高阶Auslander代数的单调Nakayama代数进行分类。需要强调的是，该分类强烈依赖于A的整体维数的奇偶性。
引用
@article{arxiv.2104.13806,
title = {Linear Nakayama algebras which are higher Auslander algebras},
author = {Claus Michael Ringel},
journal= {arXiv preprint arXiv:2104.13806},
year = {2021}
}
备注
The paper has been revised, many parts are completely rewritten. Also, the terminology has been reconsidered