Maximal green sequences of quivers with multiple edges
Representation Theory
2019-02-21 v1
Abstract
In this paper we completely describe maximal green sequences (MGS) of acyclic quivers with multiple edges in terms of maximal green sequences of their multiple edge-free (ME-free) versions. In particular we establish that any MGS of a quiver must be an ME-free MGS of its ME-free version. For quivers with oriented cycles our results for acyclic quivers do not apply. However a weaker result is available under certain conditions.
Keywords
Cite
@article{arxiv.1902.07375,
title = {Maximal green sequences of quivers with multiple edges},
author = {Kiyoshi Igusa and Ying Zhou},
journal= {arXiv preprint arXiv:1902.07375},
year = {2019}
}