Cluster-tilted algebras and their intermediate coverings

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.

revised version

References in corpus (3)

• On triangulated orbit categories
• The cluster category of a canonical algebra
• On the Galois coverings of a cluster-tilted algebra