The magnitude for Nakayama algebras
Representation Theory
2023-03-14 v1
Abstract
The magnitude for algebras is a generalization of the Euler characteristic. We investigate the magnitude for Nakayama algebras. Using Ringel's resolution quiver, the existence and the value of rational magnitude is given. As a result, we show that the finite global dimension criteria for Nakayama algebras of Madsen and the first author are equivalent.
Keywords
Cite
@article{arxiv.2303.06553,
title = {The magnitude for Nakayama algebras},
author = {Dawei Shen and Yaru Wu},
journal= {arXiv preprint arXiv:2303.06553},
year = {2023}
}