Tilted tubules

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From Iterated Tilted Algebras to Cluster-tilted Algebras

In this paper the relationship between iterated tilted algebras and cluster-tilted algebras and relation-extensions is studied. In the Dynkin case, it is shown that the relationship is very strong and combinatorial.

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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.

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ژورنال

عنوان ژورنال: Journal of Cell Biology

سال: 2005

ISSN: 1540-8140,0021-9525

DOI: 10.1083/jcb1707rr5