On some combinatorial properties of generalized cluster algebras

DOI10.1016/j.jpaa.2020.106650zbMath1459.13017arXiv1910.03154OpenAlexW3111483593MaRDI QIDQ2022455

Fang Li, Peigen Cao

Publication date: 29 April 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03154

zbMATH Keywords

exchange graphgeneralized cluster algebra\(d\)-vector

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Cluster algebras (13F60) Combinatorial aspects of algebraic geometry (05E14)

Related Items (2)

Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds ⋮ Generalized cluster structures related to the Drinfeld double of GLn$GL_n$

Cites Work

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• Structure of seeds in generalized cluster algebras
• The enough \(g\)-pairs property and denominator vectors of cluster algebras
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Some conjectures on generalized cluster algebras via the cluster formula and \(D\)-matrix pattern
• Cluster algebras I: Foundations
• Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
• Cluster algebras IV: Coefficients
• Exact WKB Analysis and Cluster Algebras II: Simple Poles, Orbifold Points, and Generalized Cluster Algebras
• Drinfeld double of GLn and generalized cluster structures
• Companion cluster algebras to a generalized cluster algebra

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