CONICET | Buscador de Institutos y Recursos Humanos

Classical results in representation theory establish very interesting connections between iterated tilted algebras and trivial extensions of finite dimensional algebras, particularly deep and useful in the Dynkin case. Recent results show that there are also interesting connections betweeen iterated tilted algebras and cluster tilted algebras. The aim of this article is to describe these connections, and show that, though the situations are quite different there are strong analogies between them.