The Cluster Character for Cyclic Quivers
نویسندگان
چکیده
We define an analogue of the Caldero-Chapoton map ([CC]) for the cluster category of finite dimensional nilpotent representations over a cyclic quiver. We prove that it is a cluster character (in the sense of [Pa]) and satisfies some inductive formulas for the multiplication between the generalized cluster variables (the images of objects of the cluster category under the map). Moreover, we construct a Z-basis for the algebras generated by all generalized cluster variables.
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