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- W2009096819 abstract "Building on work by Geiss-Leclerc-Schröer and by Buan-Iyama-Reiten-Scott we investigate the link between certain cluster algebras with coefficients and suitable 2-Calabi-Yau categories. These include the cluster categories associated with acyclic quivers and certain Frobenius subcategories of module categories over preprojective algebras. Our motivation comes from the conjectures formulated by Fomin and Zelevinsky in âCluster algebras IV: Coefficientsâ. We provide new evidence for Conjectures 5.4, 6.10, 7.2, 7.10 and 7.12 and show by an example that the statement of Conjecture 7.17 does not always hold." @default.
- W2009096819 created "2016-06-24" @default.
- W2009096819 creator A5027974472 @default.
- W2009096819 creator A5055012737 @default.
- W2009096819 date "2009-09-18" @default.
- W2009096819 modified "2023-10-17" @default.
- W2009096819 title "On cluster algebras with coefficients and 2-Calabi-Yau categories" @default.
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- W2009096819 doi "https://doi.org/10.1090/s0002-9947-09-04979-4" @default.
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