Linear independence of cluster monomials for skew-symmetric cluster algebras-Reference-Cited by-同舟云学术

Linear independence of cluster monomials for skew-symmetric cluster algebras

Published:2013-08-28 Issue:10 Volume:149 Page:1753-1764
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

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

Abstract

AbstractFomin–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 confirm these conjectures for all skew-symmetric cluster algebras.

Publisher

Wiley

Subject

Algebra and Number Theory

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