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

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

2010-09-24

arxiv.org/abs/1009.4812v1

Mathematics

Representation Theory

32 pages

Scientific paper

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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