Linear independence of cluster monomials for skew-symmetric cluster algebras

Details Linear independence of cluster monomials for skew-symmetric cluster algebras Linear independence of cluster monomials for skew-symmetric cluster algebras

2012-03-06

arxiv.org/abs/1203.1307v2

Mathematics

Representation Theory

12 pages. v2: Bibliography expanded

Scientific paper

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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