On folded cluster patterns of affine type

DOI10.2140/pjm.2022.318.401zbMath1498.13061arXiv2107.02973OpenAlexW3177633389MaRDI QIDQ2168227

Byung Hee An, Eun Jeong Lee

Publication date: 31 August 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02973

zbMATH Keywords

cluster patterns of affine type, folding, invariance, admissibility

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Cluster algebras (13F60) Group actions on combinatorial structures (05E18)

Cites Work

• Unnamed Item
• Skew-symmetric cluster algebras of finite mutation type
• A compendium on the cluster algebra and quiver package in \texttt{Sage}
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• An approach to non-simply laced cluster algebras.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Cluster algebras. II: Finite type classification
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• An affine almost positive roots model
• Cluster algebras I: Foundations
• Canonical bases for cluster algebras
• Cluster algebras IV: Coefficients
• From triangulated categories to cluster algebras II
• Mutation Classes of Skew-Symmetric 3 × 3-Matrices
• The Mutation Class ofD_nQuivers
• Clusters and seeds in acyclic cluster algebras

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