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arXiv · 1009.4812

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

Marco Angel Bertani-Økland·Steffen Oppermann·Anette Wrålsen
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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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Marco Angel Bertani-Økland, Steffen Oppermann, Anette Wrålsen. 2010-09-24. Graded mutation in cluster categories coming from hereditary categories with a tilting object. https://arxiv.org/abs/1009.4812

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