A Caldero-Chapoton formula for generalized Cluster Categories
arXiv:1209.2081 · doi:10.1016/j.jalgebra.2013.10018
Abstract
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.
arXiv comment6 pages. v2: In example X <--> C typo fixed and cross-references added. v3: small editorial changes. Final version to appear in J. Algebra