Cluster tilting modules for local algebras
Representation Theory
2025-05-20 v1
Abstract
We give the first example of a non-trivial cluster tilting module in a local finite dimensional algebra. To do this, we give an explicit calculation of the corresponding higher Auslander algebra by quiver and relations using the GAP-package QPA. We discuss related problems and conjectures for local finite-dimensional algebras.
Cite
@article{arxiv.2505.12915,
title = {Cluster tilting modules for local algebras},
author = {Rene Marczinzik and Daniel Owens},
journal= {arXiv preprint arXiv:2505.12915},
year = {2025}
}