Classification of two-term tilting complexes over Brauer graph algebras
Representation Theory
2018-01-08 v4
Abstract
Using only the combinatorics of its defining ribbon graph, we classify the two-term tilting complexes, as well as their indecomposable summands, of a Brauer graph algebra. As an application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.
Cite
@article{arxiv.1504.04827,
title = {Classification of two-term tilting complexes over Brauer graph algebras},
author = {Takahide Adachi and Takuma Aihara and Aaron Chan},
journal= {arXiv preprint arXiv:1504.04827},
year = {2018}
}
Comments
Revised version. To appear in Math. Z