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math.AC2018★ 2 cited
On the relationship between green-to-red sequences, local-acyclicity, and upper cluster algebras
Matthew R. Mills
A cluster is a finite set of generators of a cluster algebra. The Laurent Phenomenon of Fomin and Zelevinsky says that any element of a cluster algebra can be written as a Laurent…
math.RT2018
Frieze varieties : A characterization of the finite-tame-wild trichotomy for acyclic quivers
Kyungyong Lee, Li Li, Matthew Mills +2
We introduce a new class of algebraic varieties which we call frieze varieties. Each frieze variety is determined by an acyclic quiver. The frieze variety is defined in an elementa…