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A=U for Locally Acyclic Cluster Algebras

2013/08/31 by Greg Muller · 36 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Cluster (spacecraft) #Cluster algebra #Combinatorics #Computer science #Directed acyclic graph #Mathematics #Nonlinear Waves and Solitons #Physics #Programming language #Pure mathematics #Quantum #Quantum mechanics #math.QA #math.RA #msc:13F60

paper · pdf · doi:10.3842/sigma.2014.094

published in Symmetry Integrability and Geometry Methods and Applications (National Academy of Sciences of Ukraine)

arxiv created 2014/09/03 · openalex publication_date 2014/09/03 · arxiv updated 2014/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.

Citations

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