Lengths of maximal green sequences for tame path algebras
Representation Theory
2020-10-28 v1 Combinatorics
Abstract
In this paper, we study the maximal length of maximal green sequences for quivers of type and by using the theory of tilting mutation. We show that the maximal length does not depend on the choice of the orientation, and determine it explicitly. Moreover, we give a program which counts all maximal green sequences by length for a given Dynkin/extended Dynkin quiver.
Keywords
Cite
@article{arxiv.2010.13996,
title = {Lengths of maximal green sequences for tame path algebras},
author = {Ryoichi Kase and Ken Nakashima},
journal= {arXiv preprint arXiv:2010.13996},
year = {2020}
}
Comments
67 pages