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Cluster-tilted algebras
by
Aslak Bakke Buan
,
Robert J. Marsh
,
Idun Reiten
| Venue: | Trans. Amer. Math. Soc |
| Citations: | 91 - 8 self |
BibTeX
@ARTICLE{Buan_cluster-tiltedalgebras,
author = {Aslak Bakke Buan and Robert J. Marsh and Idun Reiten},
title = {Cluster-tilted algebras},
journal = {Trans. Amer. Math. Soc},
year = {}
}
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Abstract
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.
