Some cluster tilting modules for weighted surface algebras
Representation Theory
2021-01-28 v1
Abstract
Non-singular weighted surface algebras satisfy the necessary condition found in [6] for existence of cluster tilting modules. We show that any such algebra whose Gabriel quiver is bipartite, has a module satisfying the necessary ext vanishing condition. We show that it is 3-cluster tilting precisely for the non-singular triangular or spherical algebras but not for any other weighted surface algebra with bipartite Gabriel quiver.
Cite
@article{arxiv.2101.11499,
title = {Some cluster tilting modules for weighted surface algebras},
author = {Karin Erdmann},
journal= {arXiv preprint arXiv:2101.11499},
year = {2021}
}
Comments
10 pages