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arXiv:0808.2352 [math.RT]AbstractReferencesReviewsResources

Cluster-tilted algebras and their intermediate coverings

Bin Zhu

Published 2008-08-18, updated 2010-04-30Version 2

We construct the intermediate coverings of cluster-tilted algebras by defining the generalized cluster categories. These generalized cluster categories are Calabi-Yau triangulated categories with fraction CY-dimension and have also cluster tilting objects (subcategories). Furthermore we study the representations of these intermediate coverings of cluster-tilted algebras.

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