Cluster-tilted algebras and slices
classification
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cluster-tiltedalgebraalgebrascriterionsameallowingauslander-reitencall
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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 in terms of a combinatorial configuration in the Auslander-Reiten quiver of the cluster-tilted algebra, which we call local slice.
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