Cluster-tilted algebras and their intermediate coverings

Details Cluster-tilted algebras and their intermediate coverings Cluster-tilted algebras and their intermediate coverings

2008-08-18

arxiv.org/abs/0808.2352v2

Mathematics

Representation Theory

revised version

Scientific paper

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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