Cluster-tilted algebras and slices

Details Cluster-tilted algebras and slices Cluster-tilted algebras and slices

2007-06-30

arxiv.org/abs/0707.0038v2

Mathematics

Representation Theory

21 pages, 3 figures, minor corrections, typos fixed

Scientific paper

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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