The Cluster Categoryfor all the module categories of cluster tilted algebras C(End T), where T is a tilting A-module.
It was introduced by
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CA is the orbit category of the derived category Db(mod A) for the functor τ-1[1].
Keller has shown: CA is a triangulated category.
If T is a tilting A-module, then mod C(End T) = CA/T. |