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arXiv · 0707.0038

Cluster-tilted algebras and slices

Ibrahim Assem·Thomas Bruestle·Ralf Schiffler
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Abstract

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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BibTeXRIS

Ibrahim Assem, Thomas Bruestle, Ralf Schiffler. 2007-07-06. Cluster-tilted algebras and slices. https://arxiv.org/abs/0707.0038

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