An approach to non-simply laced cluster algebras.

DOI10.1016/j.jalgebra.2008.03.018zbMath1155.16011arXivmath/0512043OpenAlexW1997226609MaRDI QIDQ948724

Grégoire Dupont

Publication date: 17 October 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512043

zbMATH Keywords

quiver representationsmutationscluster algebrascluster categoriesquivers with automorphismsnon-simply laced type

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Related Items (16)

Strongly primitive species with potentials. I: Mutations ⋮ Cluster tilting modules for mesh algebras ⋮ Counting friezes in type \(D_n\) ⋮ On folded cluster patterns of affine type ⋮ Cluster configuration spaces of finite type ⋮ Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type ⋮ Cluster automorphism groups of cluster algebras of finite type ⋮ Cluster algebras and preprojective algebras: the non-simply laced case. ⋮ The periodicity conjecture for pairs of Dynkin diagrams ⋮ Symplectic frieze patterns ⋮ Clusters in Non-simply-laced Finite Type via Frobenius Morphisms ⋮ Sign-coherence of c-vectors and maximal Green sequences for acyclic sign-skew-symmetric matrices ⋮ Cluster structures and subfans in scattering diagrams ⋮ Categorification of skew-symmetrizable cluster algebras ⋮ Cluster algebras arising from cluster tubes ⋮ Classification of rank 2 cluster varieties

Cites Work

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• QUIVER REPRESENTATIONS RESPECTING A QUIVER AUTOMORPHISM: A GENERALISATION OF A THEOREM OF KAC
• Semicanonical bases and preprojective algebras II: A multiplication formula
• Preprojective Cluster Variables of Acyclic Cluster Algebras
• Frobenius morphisms and representations of algebras
• Semicanonical bases and preprojective algebras

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