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Classification of graded cluster algebras generated by rank 3 quivers

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Publication:5879276
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DOI10.1142/S0219498823500354OpenAlexW4200352519MaRDI QIDQ5879276

Thomas Booker-Price

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500354

zbMATH Keywords

cluster algebrascluster algebras of infinite typegraded cluster algebrasrank 3 quivers


Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Cluster algebras (13F60)




Cites Work

  • Unnamed Item
  • Cluster-cyclic quivers with three vertices and the Markov equation. (With an appendix by Otto Kerner).
  • Graded cluster algebras
  • Cluster characters for 2-Calabi-Yau triangulated categories.
  • Quantum cluster algebras.
  • Tilting theory and cluster combinatorics.
  • Quiver representations.
  • Cluster algebras I: Foundations
  • Graded quantum cluster algebras and an application to quantum Grassmannians
  • Cluster algebras IV: Coefficients
  • From triangulated categories to cluster algebras II
  • Mutation Classes of Skew-Symmetric 3 × 3-Matrices
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