Linear Laurent phenomenon algebras

Published 12 Jun 2012 in math.RT, math.CO, and math.RA | (1206.2612v2)

Abstract: 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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