Lifting to cluster-tilting objects in higher cluster categoriesPreprint English OPEN
Subject: 18E30, 16D90 | Mathematics - Rings and Algebras | Mathematics - Representation Theory
arxiv: Mathematics::Representation Theory | Mathematics::Category Theory
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.