Cluster-tilted algebras

Details Cluster-tilted algebras Cluster-tilted algebras

2004-02-05

arxiv.org/abs/math/0402075v2

Mathematics

Representation Theory

12 pages. Extra reference included in introduction; rest of paper unchanged

Scientific paper

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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