Cluster-tilted Algebras

Abstract

We introduce a new class of algebras, which we call cluster-tilted. They are by definition the endomorphism algebras of tilting objects in a cluster category. We show that their representation theory is very close to the representation theory of hereditary algebras. As an application of this, we prove a generalised version of so-called APR-tilting.

Cite this paper

@inproceedings{Buan2006ClustertiltedA, title={Cluster-tilted Algebras}, author={Aslak Bakke Buan and Robert J. Marsh and Idun Reiten}, year={2006} }