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arXiv · 1002.4956

Cluster characters for cluster categories with infinite-dimensional morphism spaces

Pierre-Guy Plamondon
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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.

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Pierre-Guy Plamondon. 2010-03-26. Cluster characters for cluster categories with infinite-dimensional morphism spaces. https://arxiv.org/abs/1002.4956

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