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Cluster characters for cluster categories with infinite-dimensional morphism spaces

By Pierre-Guy Plamondon

Abstract

We prove the existence of cluster characters for Hom-infinite cluster categories. For this purpose, we introduce a suitable mutation-invariant subcategory of the cluster category. We sketch how to apply our results in order to categorify any skew-symmetric cluster algebra. More applications and a comparison to Derksen-Weyman-Zelevinsky’s results will be given in a future paper

Topics: 2. Cluster category 3 2.1. Skew-symmetric cluster algebras 3 2.2. Quivers with potentials and Jacobi
Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.178.4808
Provided by: CiteSeerX
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