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arXiv · 0810.3360

Lifting to cluster-tilting objects in higher cluster categories

Pin Liu
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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.

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Pin Liu. 2008-12-29. Lifting to cluster-tilting objects in higher cluster categories. https://arxiv.org/abs/0810.3360

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