Mutation classes of diagrams via infinite graphs

DOI10.1002/mana.200910224zbMath1262.13039arXiv0903.1924OpenAlexW2963018487MaRDI QIDQ3106291

Thilo Henrich

Publication date: 20 December 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1924

zbMATH Keywords

Dynkin diagramsinfinite graphscluster algebrasquiver mutationmutation classes

Mathematics Subject Classification ID

Signed and weighted graphs (05C22) Infinite graphs (05C63) Cluster algebras (13F60)

Related Items (7)

Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type ⋮ New hereditary and mutation-invariant properties arising from forks ⋮ Universal quivers ⋮ Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion ⋮ Cluster algebras from surfaces and extended affine Weyl groups ⋮ Coxeter groups, quiver mutations and geometric manifolds ⋮ Local dissymmetry on graphs and related algebraic structures

Cites Work

• Recognizing cluster algebras of finite type
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Minimal algebras of infinite representation type with preprojective component
• Cluster algebras. II: Finite type classification
• Tame concealed algebras and cluster quivers of minimal infinite type.
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Cluster algebras, quiver representations and triangulated categories
• Cluster-tilted algebras
• The Mutation Class ofD_nQuivers
• CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES

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