Positivity for cluster algebras

2013/06/11 by Kyungyong Lee, Ralf Schiffler, Lee, Kyungyong +1 · 1 citation
Mathematics · #13F60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1306.2415

openalex publication_date 2013/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the positivity conjecture for all skew-symmetric cluster algebras.

Citations

• A combinatorial formula for rank 2 cluster variables
• Cluster algebras IV: Coefficients

Cited by

• Classification of real modules in monoidal categorifications of cluster algebras

Related

• Positivity for cluster algebras of rank 3
• Positivity of denominator vectors of cluster algebras
• Total positivity and cluster algebras
• Positivity in skew-symmetric cluster algebras of finite type
• Positivity for quantum cluster algebras