On the generalized cluster algebras of geometric type

DOI10.3842/SIGMA.2020.092zbMath1453.13063arXiv2003.14104MaRDI QIDQ2220000

Xueqing Chen, Liqian Bai, Fan Xu, Ming Ding

Publication date: 21 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14104

zbMATH Keywords

upper boundlower boundstandard monomialcluster algebrageneralized cluster algebra

Mathematics Subject Classification ID

Cluster algebras (13F60) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds ⋮ Some elementary properties of Laurent phenomenon algebras

Cites Work

• \(\mathcal A = \mathcal U\) for locally acyclic cluster algebras
• Structure of seeds in generalized cluster algebras
• Cluster algebras. II: Finite type classification
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Locally acyclic cluster algebras
• Upper cluster algebras and choice of ground ring
• Singularities of locally acyclic cluster algebras
• A combinatorial formula for certain elements of upper cluster algebras
• Cluster algebras I: Foundations
• Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
• Birational geometry of cluster algebras
• Drinfeld double of GLn and generalized cluster structures
• Generic Bases for Cluster Algebras From the Cluster Category
• Computing Upper Cluster Algebras

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