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arXiv 2007-12-14 0 views

Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories

Fu, Changjian · Liu, Pin

Original · EN

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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