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On the Galois coverings of a cluster-tilted algebra
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
We study the module category of a certain Galois covering of a cluster-tilted algebra which we call the cluster repetitive algebra. Our main result compares the module categories o…
math.RT2007
Cluster-tilted algebras and slices
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
We give a criterion allowing to verify whether or not two tilted algebras have the same relation-extension (thus correspond to the same cluster-tilted algebra). This criterion is i…