Conway-Coxeter friezes and mutation: a survey

DOI10.1007/978-3-319-98684-5_4zbMath1544.05118MaRDI QIDQ6599594

Khrystyna Serhiyenko, Karin Baur, Sira Gratz, Eleonore Faber, Gordana Todorov

Publication date: 6 September 2024

zbMATH Keywords

cluster-tilted algebrafrieze patterncluster categoryCaldero-Chapoton mapcluster mutationAR quiverstring module

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Combinatorial aspects of tessellation and tiling problems (05B45) Cluster algebras (13F60) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Cluster categories for algebras of global dimension 2 and quivers with potential.
• Cluster-tilted algebras of finite representation type.
• Quivers with potentials and their representations. I: Mutations.
• Cluster algebras. II: Finite type classification
• Mutation of friezes
• Cluster algebras as Hall algebras of quiver representations.
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Ice quivers with potential associated with triangulations and Cohen-Macaulay modules over orders
• A categorification of Grassmannian cluster algebras
• Dimer models and cluster categories of Grassmannians
• Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
• Triangulated polygons and frieze patterns
• Triangulated polygons and frieze patterns
• On cluster algebras with coefficients and 2-Calabi-Yau categories
• Frieze patterns
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

This page was built for publication: Conway-Coxeter friezes and mutation: a survey