m-Noncrossing trees

DOI10.1142/S0219498818501876zbMath1401.05304OpenAlexW2754241588MaRDI QIDQ4561478

Kiyoshi Igusa

Publication date: 6 December 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501876

zbMATH Keywords

quiversFuss-Catalan numbers\(c\)-vectorsexceptional sequences\(m\)-cluster categorymutation of \(m\)-clusters

Mathematics Subject Classification ID

Trees (05C05) Combinatorial aspects of representation theory (05E10) Representations of quivers and partially ordered sets (16G20)

Related Items (3)

Mixed cobinary trees ⋮ Pairwise compatibility for 2-simple minded collections ⋮ Horizontal and vertical mutation fans

Cites Work

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• From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences
• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Exchange graphs and Ext quivers
• The decorated Teichmüller space of punctured surfaces
• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Defining an \(m\)-cluster category.
• Stability conditions on triangulated categories
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• EXCEPTIONAL SEQUENCES FOR QUIVERS OF DYNKIN TYPE
• The number of complete exceptional sequences for a Dynkin algebra
• Cluster algebras IV: Coefficients
• Mixed cobinary trees
• Tilting in abelian categories and quasitilted algebras
• Acyclic Cluster Algebras Revisited
• On tropical dualities in cluster algebras

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