3 papers
math.AC2018
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…
math.CO2016
Maximal green sequences for quivers of finite mutation type
Matthew R. Mills
In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster quivers of finite mutation…