Cluster-tilted algebras and their intermediate coverings
نویسنده
چکیده
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.
منابع مشابه
ar X iv : 0 70 9 . 08 50 v 1 [ m at h . R T ] 5 S ep 2 00 7 On the Galois coverings of a cluster - tilted algebra ∗
The cluster category was introduced in (BMRRT, 2006) and also in (CCS1, 2006) for type A, as a categorical model to understand better the cluster algebras of Fomin and Zelevinsky (FZ, 2002). It is a quotient of the bounded derived category Db(modA) of the finitely generated modules over a finite dimensional hereditary algebra A. It was then natural to consider the endomorphism algebras of tilti...
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