POSITIVITY FOR REGULAR CLUSTER CHARACTERS IN ACYCLIC CLUSTER ALGEBRAS

DOI10.1142/S0219498812500697zbMath1252.13012arXiv0911.0714OpenAlexW2963627099MaRDI QIDQ2909799

Grégoire Dupont

Publication date: 6 September 2012

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

Full work available at URL: https://arxiv.org/abs/0911.0714

zbMATH Keywords

positivityregular modulescluster algebras

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

Quiver Grassmannians of type \(\widetilde{D}_n\). II: Schubert decompositions and \(F\)-polynomials ⋮ Positivity for generalized cluster variables of affine quivers ⋮ Quiver Grassmannians of Extended Dynkin type 𝐷 Part 1: Schubert Systems and Decompositions Into Affine Spaces

Cites Work

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• Positivity for cluster algebras from surfaces
• Generic variables in acyclic cluster algebras
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• Transverse quiver Grassmannians and bases in affine cluster algebras.
• From triangulated categories to cluster algebras
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• Cluster algebras I: Foundations
• Generic bases for cluster algebras and the Chamber Ansatz
• Cluster algebras IV: Coefficients
• Quivers with potentials and their representations II: Applications to cluster algebras
• On cluster algebras with coefficients and 2-Calabi-Yau categories