Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas
Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas
We generalize the Caldero–Chapoton formula for cluster algebras of finite type to the skew-symmetrizable case. This is done by replacing representation categories of Dynkin quivers by categories of locally free modules over certain Iwanaga–Gorenstein algebras introduced in [Geiß, Leclerc and Schröer, Invent Math. 209 (2017) 61–158]. The proof relies on …