Lifting to cluster-tilting objects in higher cluster categories

Details Lifting to cluster-tilting objects in higher cluster categories Lifting to cluster-tilting objects in higher cluster categories

2008-10-19

arxiv.org/abs/0810.3360v2

Mathematics

Representation Theory

6 pages

Scientific paper

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.

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