English

Graded mutation in cluster categories coming from hereditary categories with a tilting object

Representation Theory 2010-09-27 v1

Abstract

We present a graded mutation rule for quivers of cluster-tilted algebras. Furthermore, we give a technique to recover a cluster-tilting object from its graded quiver in the cluster category of coh X\mathbb{X}.

Keywords

Cite

@article{arxiv.1009.4812,
  title  = {Graded mutation in cluster categories coming from hereditary categories with a tilting object},
  author = {Marco Angel Bertani-Økland and Steffen Oppermann and Anette Wrålsen},
  journal= {arXiv preprint arXiv:1009.4812},
  year   = {2010}
}

Comments

32 pages

R2 v1 2026-06-21T16:18:33.618Z