Constructing tilted algebras from cluster-tilted algebras

Details Constructing tilted algebras from cluster-tilted algebras Constructing tilted algebras from cluster-tilted algebras

2009-02-10

arxiv.org/abs/0902.1667v2

Mathematics

Representation Theory

Section 3 has been removed and now is an independent article (arXiv:0912.2911v1). Section 1 and 2.2 have been modified to cope

Scientific paper

10.1016/j.jalgebra.2010.02.026

Any cluster-tilted algebra is the relation extension of a tilted algebra. We
present a method to, given the distribution of a cluster-tilting object in the
Auslander-Reiten quiver of the cluster category, construct all tilted algebras
whose relation extension is the endomorphism ring of this cluster-tilting
object.

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