Cluster characters for cluster categories with infinite-dimensional morphism spaces

2010/02/26 by Plamondon, Pierre-Guy · 2 citations
#18E30 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1002.4956

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.

Cited by

• Cluster theory of topological Fukaya categories. Part II: Higher Teichmüller theory
• Finite-dimensional Jacobian algebras: Finiteness and tameness

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