On Generalized Cluster Categories

Mathematics – Representation Theory

Scientific paper

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survey 54pages, v2: small improvements, published in the proceedings of ICRA XIV "Representations of Algebras and Related Topi

Scientific paper

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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