English

On Generalized Cluster Categories

Representation Theory 2011-11-21 v2

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.

Keywords

Cite

@article{arxiv.1101.3675,
  title  = {On Generalized Cluster Categories},
  author = {Claire Amiot},
  journal= {arXiv preprint arXiv:1101.3675},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T17:14:01.134Z