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• W2128594808 abstract "Let $mathcal{C}$ be a Hom-finite triangulated 2-Calabi-Yau category with a cluster tilting object. Under some constructibility assumptions on $mathcal{C}$ which are satisfied for instance by cluster categories, by generalized cluster categories and by stable categories of modules over a preprojective algebra, we prove a multiplication formula for the cluster character associated with any cluster tilting object. This formula generalizes those obtained by Caldero-Keller for representation finite path algebras and by Xiao-Xu for finite-dimensional path algebras. It is analogous to a formula obtained by Geiss-Leclerc-Schroer in the context of preprojective algebras." @default.
• W2128594808 created "2016-06-24" @default.
• W2128594808 creator A5006674002 @default.
• W2128594808 date "2011-08-10" @default.
• W2128594808 modified "2023-10-09" @default.
• W2128594808 title "Cluster characters II: a multiplication formula" @default.
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• W2128594808 doi "https://doi.org/10.1112/plms/pdr027" @default.
• W2128594808 hasPublicationYear "2011" @default.
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