English

On Krull-Gabriel dimension of weighted surface algebras

Representation Theory 2025-03-31 v1

Abstract

We determine the Krull-Gabriel dimension of weighted surface algebras, a class of algebras which recently appeared in the context of classification of tame symmetric periodic algebras of non-polynomial growth. Moreover, we consider Krull-Gabriel dimension of idempotent algebras of weighted surface algebras and generalize the result in some cases.

Keywords

Cite

@article{arxiv.2503.22295,
  title  = {On Krull-Gabriel dimension of weighted surface algebras},
  author = {Karin Erdmann and Alicja Jaworska-Pastuszak and Grzegorz Pastuszak},
  journal= {arXiv preprint arXiv:2503.22295},
  year   = {2025}
}