Maximal green sequences for quivers of finite mutation type

DOI10.1016/j.aim.2017.08.019zbMath1376.30028arXiv1606.03799OpenAlexW2963775633MaRDI QIDQ2404634

Matthew R. Mills

Publication date: 19 September 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03799

zbMATH Keywords

cluster algebrasmarked surfacesfinite mutation typemaximal green sequences

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Directed graphs (digraphs), tournaments (05C20)

Related Items (14)

Maximal green sequences for string algebras ⋮ \(F\)-matrices of cluster algebras from triangulated surfaces ⋮ Minimal length maximal green sequences ⋮ On maximal green sequence for quivers arising from weighted projective lines ⋮ Properties of minimal mutation-infinite quivers ⋮ Reddening sequences for Banff quivers and the class \(\mathcal{P}\) ⋮ Denominator vectors and dimension vectors from triangulated surfaces ⋮ Cluster categories for marked surfaces: punctured case ⋮ Minimal length maximal Green sequences ⋮ Uniform column sign-coherence and the existence of maximal green sequences ⋮ Sign-coherence of c-vectors and maximal Green sequences for acyclic sign-skew-symmetric matrices ⋮ A survey on maximal green sequences ⋮ Building maximal green sequences via component preserving mutations ⋮ A combinatorial characterization of cluster algebras: on the number of arrows of cluster quivers

Cites Work

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• Skew-symmetric cluster algebras of finite mutation type
• Semi-invariant pictures and two conjectures on maximal green sequences
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• Cluster categories for algebras of global dimension 2 and quivers with potential.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Tagged mapping class groups: Auslander-Reiten translation
• Minimal length maximal Green sequences and triangulations of polygons
• Cluster algebras I: Foundations
• On cluster algebras from unpunctured surfaces with one marked point
• Canonical bases for cluster algebras
• On Maximal Green Sequences
• Quivers with potentials and their representations II: Applications to cluster algebras
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
• On cluster theory and quantum dilogarithm identities

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