Tame Hereditary Algebras have finitely many m-Maximal Green Sequences
Representation Theory
2017-12-21 v2
Abstract
In this paper we state and prove the statement that tame hereditary algebras have finitely many m-maximal green sequences using a generalized version of Br\"ustle-Dupont-P\'erotin's argument that tame quivers have finitely many maximal green sequences. Then we extend this theorem to mutation sequences which are partially red.
Keywords
Cite
@article{arxiv.1706.09118,
title = {Tame Hereditary Algebras have finitely many m-Maximal Green Sequences},
author = {Kiyoshi Igusa and Ying Zhou},
journal= {arXiv preprint arXiv:1706.09118},
year = {2017}
}
Comments
6 pages. v2: exposition improved, proofs shorted. Improved bound on transjective degrees