Maximal Green sequences for cluster-tilted algebras of finite representation type

DOI10.5802/alco.61zbMath1422.16010arXiv1706.06503OpenAlexW2979356617WikidataQ127131212 ScholiaQ127131212MaRDI QIDQ2328132

Kiyoshi Igusa

Publication date: 9 October 2019

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06503

zbMATH Keywords

stability conditionstilted algebrasJacobian algebrasc-vectorscluster mutationquivers with potentialforward hom-orthogonal sequences

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Cluster algebras (13F60)

Related Items (7)

On maximal Green sequences in abelian length categories ⋮ Maximal green sequences for string algebras ⋮ Stability conditions for affine type A ⋮ Maximal forward hom-orthogonal sequences for cluster-tilted algebras of finite type ⋮ A survey on maximal green sequences ⋮ Linearity of stability conditions ⋮ Picture groups and maximal Green sequences

Cites Work

• Unnamed Item
• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Semi-invariant pictures and two conjectures on maximal green sequences
• Cluster-tilted algebras of finite representation type.
• Quivers with relations and cluster tilted algebras.
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Cluster-tilted algebras and slices.
• Quivers with potentials and their representations. I: Mutations.
• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Cluster algebras. II: Finite type classification
• Wall and chamber structure for finite-dimensional algebras
• Minimal length maximal green sequences
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Stability conditions on triangulated categories
• Tilting theory and cluster combinatorics.
• Minimal length maximal Green sequences and triangulations of polygons
• Mutation of cluster-tilting objects and potentials
• Cluster-tilted algebras
• Cluster algebras IV: Coefficients
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Generalized tilted algebras of type a_n
• Linearity of stability conditions
• A Course on Cluster Tilted Algebras
• $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
• Homological and homotopical aspects of torsion theories
• Tilted algebras of type A_n

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