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Graded mutation in cluster categories coming from hereditary categories with a tilting object

Published 24 Sep 2010 in math.RT | (1009.4812v1)

Abstract: We present a graded mutation rule for quivers of cluster-tilted algebras. Furthermore, we give a technique to recover a cluster-tilting object from its graded quiver in the cluster category of coh $\mathbb{X}$.

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