A Caldero-Chapoton formula for generalized Cluster Categories
classification
🧮 math.RT
keywords
clusterauslander-reitencaldero-chapotoncategoriesformulageneralizedalgebrascharacter
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The Caldero-Chapoton formula relates for hereditary algebras of Dynkin type the cluster characters of the end terms of an Auslander-Reiten sequence with the cluster character of the middle term. We extend this result to generalized cluster categories with cluster tilting object by considering Auslander-Reiten triangles.
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