Linear independence of cluster monomials for skew-symmetric cluster\n algebras

2012/03/06 by Giovanni Cerulli Irelli, Irelli, Giovanni Cerulli, Bernhard Keller +5 · 3 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1203.1307

Abstract

Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster\nmonomials are linearly independent and that the exchange graph and cluster\ncomplex are independent of the choice of coefficients. We confirm these\nconjectures for all skew-symmetric cluster algebras.\n

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