4 citations · 11 across the 6 of their papers we have counts for
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math.RT2005
Preprojective cluster variables of acyclic cluster algebras
Bin Zhu
For any valued quiver, by using BGP-reflection functors, an injection from the set of preprojective objects in the cluster category to the set of cluster variables of the correspon…
math.RT2005
Equivalences between cluster categories
Bin Zhu
Tilting theory in cluster categories of hereditary algebras has been developed in [BMRRT] and [BMR]. These results are generalized to cluster categories of hereditary abelian categ…
math.RT2005
BGP-reflection functors and cluster combinatorics
Bin Zhu
We define Bernstein-Gelfand-Ponomarev reflection functors in the cluster categories of hereditary algebras. They are triangle equivalences which provide a natural quiver realizatio…