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math.RT2010★ 101 cited
Cluster algebras via cluster categories with infinite-dimensional morphism spaces
Pierre-Guy Plamondon
We apply our previous work on cluster characters for Hom-infinite cluster categories to the theory of cluster algebras. We give a new proof of Conjectures 5.4, 6.13, 7.2, 7.10 and…
math.RT2010
Cluster characters for cluster categories with infinite-dimensional morphism spaces
Pierre-Guy Plamondon
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.…