Cluster characters for cluster categories with infinite-dimensional morphism spaces
Representation Theory
2010-03-29 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1002.4956,
title = {Cluster characters for cluster categories with infinite-dimensional morphism spaces},
author = {Pierre-Guy Plamondon},
journal= {arXiv preprint arXiv:1002.4956},
year = {2010}
}
Comments
33 pages, updated references