Cluster structures for 2-Calabi–Yau categories and unipotent groups
Cluster structures for 2-Calabi–Yau categories and unipotent groups
Abstract We investigate cluster-tilting objects (and subcategories) in triangulated 2-Calabi–Yau and related categories. In particular, we construct a new class of such categories related to preprojective algebras of non-Dynkin quivers associated with elements in the Coxeter group. This class of 2-Calabi–Yau categories contains, as special cases, the cluster categories and …