Lifting to cluster-tilting objects in higher cluster categories
classification
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keywords
clustercluster-tiltingalgebrascategoriesobjectsalgebracategorycluster-tilted
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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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