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Linear independence of cluster monomials for skew-symmetric cluster algebras

Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso, Pierre-Guy Plamondon

Number 8
Author Giovanni Cerulli Irelli
Year 2012

Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph is independent of the choice of coefficients. We confirm these conjectures for all skew-symmetric cluster algebras.

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