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Cluster-tilted algebras and their intermediate coverings

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Abstract

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. Key words. Generalized cluster categories, cluster-tilted algebras, cluster tilting objects(subcategories), coverings. Mathematics Subject Classification. 16G20, 16G70.

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