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arxiv: 1206.2612 · v2 · pith:GRZDUFPCnew · submitted 2012-06-12 · 🧮 math.RT · math.CO· math.RA

Linear Laurent phenomenon algebras

classification 🧮 math.RT math.COmath.RA
keywords algebraslaurentphenomenonclustergraphlinearalgebraarising
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In [LP] we introduced Laurent phenomenon algebras, a generalization of cluster algebras. Here we give an explicit description of Laurent phenomenon algebras with a linear initial seed arising from a graph. In particular, any graph associahedron is shown to be the dual cluster complex for some Laurent phenomenon algebra.

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