Minimal length maximal Green sequences

zbMath1384.05170MaRDI QIDQ1745106

Khrystyna Serhiyenko, Thomas McConville, Alexander Garver

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/16%20Garver%20McConville%20Serhiyenko.html

zbMATH Keywords

triangulated surfacequiver mutationmaximal Green sequence

Mathematics Subject Classification ID

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

Related Items (1)

A survey on maximal green sequences

Cites Work

• Mutation classes of \(\widetilde A_n\)-quivers and derived equivalence classification of cluster tilted algebras of type \(\widetilde A_n\).
• On maximal green sequences for type \(\mathbb{A}\) quivers
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Maximal green sequences for quivers of finite mutation type
• Cambrian lattices.
• Minimal length maximal Green sequences and triangulations of polygons
• The existence of a maximal Green sequence is not invariant under quiver mutation
• Cluster algebras I: Foundations
• Ordered Exchange Graphs
• Canonical bases for cluster algebras
• On Maximal Green Sequences
• The Mutation Class ofD_nQuivers
• Quivers with potentials and their representations II: Applications to cluster algebras
• Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
• On cluster theory and quantum dilogarithm identities

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