Linear Nakayama algebras which are higher Auslander algebras
Representation Theory
2021-10-15 v2
Abstract
An artin algebra A is said to be a higher Auslander algebra provided the global dimension and the dominant dimension coincide. We say that a linear Nakayama algebra is monotone, provided its Kupisch series first increases, then decreases. We are going to classify the monotone Nakayama algebras which are higher Auslander algebras. Let us stress that the classification strongly depends on the parity of the global dimension of A.
Keywords
Cite
@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}
}
Comments
The paper has been revised, many parts are completely rewritten. Also, the terminology has been reconsidered