Representations of Algebras and Related Topics
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Cluster categories have been introduced by Buan, Marsh, Reineke, Reiten and Todorov in order to categorify Fomin–Zelevinsky cluster algebras. This survey motivates and outlines the construction of a generalization of cluster categories, and explains different applications of these new categories in representation theory.
Keywords: Cluster categories, 2-Calabi-Yau triangulated categories, cluster-tilting theory, quiver mutation, quivers with potentials, Jacobian algebras, preprojective algebras