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math.RA2008★ 3 cited
Cluster algebras of finite type via Coxeter elements and principal minors
Shih-Wei Yang, Andrei Zelevinsky
We give a uniform geometric realization for the cluster algebra of an arbitrary finite type with principal coefficients at an arbitrary acyclic seed. This algebra is realized as th…
math.RA2007★ 20 cited
Quivers with potentials and their representations I: Mutations
Harm Derksen, Jerzy Weyman, Andrei Zelevinsky
We study quivers with relations given by non-commutative analogs of Jacobian ideals in the complete path algebra. This framework allows us to give a representation-theoretic interp…