Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories
classification
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math.RA
keywords
calabi-yaucluster-tiltingtriangulatedcategoriescategoryobjectalgebracluster
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We show that a tilting module over the endomorphism algebra of a cluster-tilting object in a 2-Calabi-Yau triangulated category lifts to a cluster-tilting object in this 2-Calabi-Yau triangulated category. This generalizes a recent work of D. Smith for cluster categories.
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