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math.RT2022
Landau-Ginzburg potentials via projective representations
Daniel Labardini-Fragoso, Bea Schumann
We interpret the Landau-Ginzburg potentials associated to Gross-Hacking-Keel-Kontsevich's partial compactifications of cluster varieties as F-polynomials of projective representati…
math.RT2012
Linear independence of cluster monomials for skew-symmetric cluster algebras
Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso +1
Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph and cluster complex are independent of the choi…