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On Generalized Cluster Categories

Published 19 Jan 2011 in math.RT | (1101.3675v2)

Abstract: 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.

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