The ubiquity of generalized cluster categories
Abstract
Associated with some finite dimensional algebras of global dimension at most 2, a generalized cluster category was introduced in Ami3, which was shown to be triangulated and 2-Calabi-Yau when it is -finite. By definition, the cluster categories of 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 Bua2, are triangle equivalent to generalized cluster categories. This was already shown for some special elements in Ami3.
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