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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2011-01-19) | v2 (2011-11-18) |
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| Attached file list to this document: | ||||||||||
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| On Generalized Cluster Categories |
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| Claire Amiot1 |
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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. |
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| 1: | IRMA - Institut de Recherche Mathématique Avancée |
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| cluster categories – 2-Calabi-Yau triangulated categories – cluster-tilting theory – quiver mutation – quivers with potentials – Jacobian algebras – preprojective algebras. |
| hal-00557532, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00557532 | |
| oai:hal.archives-ouvertes.fr:hal-00557532 | |
| From: Claire Amiot | |
| Submitted on: Friday, 18 November 2011 12:39:37 | |
| Updated on: Friday, 18 November 2011 16:04:29 | |
