57 citations · 137 across the 18 of their papers we have counts for
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The image of the derived category in the cluster category
Claire Amiot, Steffen Oppermann
Cluster categories of hereditary algebras have been introduced as orbit categories of their derived categories. Keller has pointed out that for non-hereditary algebras orbit catego…
Algebras of acyclic cluster type: tree type and type
Claire Amiot, Steffen Oppermann
In this paper, we study algebras of global dimension at most 2 whose generalized cluster category is equivalent to the cluster category of an acyclic quiver which is either a tree…
Cluster equivalence and graded derived equivalence
Claire Amiot, Steffen Oppermann
In this paper we introduce a new approach for organizing algebras of global dimension at most 2. We introduce the notion of cluster equivalence for these algebras, based on whether…
Preprojective algebras and c-sortable words
Claire Amiot, Osamu Iyama, Idun Reiten +1
Let be an acyclic quiver and be the complete preprojective algebra of over an algebraically closed field . To any element in the Coxeter group of , Buan, Iyam…