$\tau$-tilting finite gentle algebras are representation-finite
Representation Theory
2019-11-27 v3
Abstract
We show that a gentle algebra over a field is -tilting finite if and only if it is representation-finite. The proof relies on the "brick--tilting correspondence" of Demonet-Iyama-Jasso and on a combinatorial analysis.
Keywords
Cite
@article{arxiv.1809.06313,
title = {$\tau$-tilting finite gentle algebras are representation-finite},
author = {Pierre-Guy Plamondon},
journal= {arXiv preprint arXiv:1809.06313},
year = {2019}
}
Comments
7 pages. v2: updated references. v3: Fixed proof of Proposition 3.3