The ubiquity of generalized cluster categories - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

The ubiquity of generalized cluster categories

Claire Amiot
Idun Reiten
  • Fonction : Auteur
  • PersonId : 864987
Gordana Todorov
  • Fonction : Auteur
  • PersonId : 864988

Résumé

Associated with some finite dimensional algebras of global dimension at most 2, a generalized cluster category was introduced in \cite{Ami3}, which was shown to be triangulated and 2-Calabi-Yau when it is $\Hom$-finite. By definition, the cluster categories of \cite{Bua} are a special case. In this paper we show that a large class of 2-Calabi-Yau triangulated categories, including those associated with elements in Coxeter groups from \cite{Bua2}, are triangle equivalent to generalized cluster categories. This was already shown for some special elements in \cite{Ami3}.
Fichier principal
Vignette du fichier
ubiquity_v2.pdf (391.31 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00435888 , version 1 (25-11-2009)
hal-00435888 , version 2 (24-11-2010)

Identifiants

Citer

Claire Amiot, Idun Reiten, Gordana Todorov. The ubiquity of generalized cluster categories. 2009. ⟨hal-00435888v2⟩
84 Consultations
122 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More