Lifting to cluster-tilting objects in higher cluster categories

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.

6 pages

References in corpus (2)

• On triangulated orbit categories
• On the relation between cluster and classical tilting