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math.RT2010★ 1 cited
The Integral Cluster Category
Bernhard Keller, Sarah Scherotzke
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal dom…
math.RT2010
Linear recurrence relations for cluster variables of affine quivers
Bernhard Keller, Sarah Scherotzke
We prove that the frieze sequences of cluster variables associated with the vertices of an affine quiver satisfy linear recurrence relations. In particular, we obtain a proof of a…