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Quivers with potentials for Grassmannian cluster algebras

Quivers with potentials for Grassmannian cluster algebras

Abstract We consider a quiver with potential (QP) $(Q(D),W(D))$ and an iced quiver with potential (IQP) $(\overline {Q}(D), F(D), \overline {W}(D))$ associated with a Postnikov Diagram D and prove that their mutations are compatible with the geometric exchanges of D . This ensures that we may define a QP $(Q,W)$ …