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 choice of coefficients. We confrm these conjectures for all skew-symmetric cluster algebras.
Linear independence of cluster monomials for skew-symmetric cluster algebras / CERULLI IRELLI, Giovanni; Keller, Bernhard; Labardini Fragoso, Daniel; Plamondon, Pierre Guy. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - STAMPA. - 149:10(2013), pp. 1753-1764. [10.1112/S0010437X1300732X]
Linear independence of cluster monomials for skew-symmetric cluster algebras
CERULLI IRELLI, GIOVANNI;
2013
Abstract
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 choice of coefficients. We confrm these conjectures for all skew-symmetric cluster algebras.File allegati a questo prodotto
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