Lifting to cluster-tilting objects in higher cluster categories

Pin Liu

Lifting to cluster-tilting objects in higher cluster categories

Representation Theory 2008-12-29 v2 Rings and Algebras

Authors: Pin Liu

Abstract

In this note, we consider the $d$ -cluster-tilted algebras, the endomorphism algebras of $d$ -cluster-tilting objects in $d$ -cluster categories. We show that a tilting module over such an algebra lifts to a $d$ -cluster-tilting object in this $d$ -cluster category.

Keywords

cluster algebras triangulated categories algebra classification and gradings

Cite

@article{arxiv.0810.3360,
  title  = {Lifting to cluster-tilting objects in higher cluster categories},
  author = {Pin Liu},
  journal= {arXiv preprint arXiv:0810.3360},
  year   = {2008}
}

Comments

6 pages

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