Positivity of denominator vectors of skew-symmetric cluster algebras

DOI10.1016/j.jalgebra.2018.09.004zbMath1423.13120arXiv1712.06975OpenAlexW2891201319MaRDI QIDQ1794080

Peigen Cao, Fang Li

Publication date: 15 October 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06975

zbMATH Keywords

positivitydenominator vectorskew-symmetric cluster algebra

Mathematics Subject Classification ID

Cluster algebras (13F60) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Friezes satisfying higher \(\mathrm{SL}_k\)-determinants ⋮ Newton polytopes of rank 3 cluster variables ⋮ Unistructurality of cluster algebras from unpunctured surfaces ⋮ The enough \(g\)-pairs property and denominator vectors of cluster algebras

Cites Work

• On the properties of the exchange graph of a cluster algebra.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Some conjectures on generalized cluster algebras via the cluster formula and \(D\)-matrix pattern
• Initial-seed recursions and dualities for \(d\)-vectors
• Positivity for cluster algebras
• Cluster algebras I: Foundations
• Canonical bases for cluster algebras
• Cluster algebras IV: Coefficients
• From triangulated categories to cluster algebras II
• Denominator vectors and compatibility degrees in cluster algebras of finite type
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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