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Recognizing cluster algebras of finite type

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Publication:870052
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zbMath1114.05103arXivmath/0406545MaRDI QIDQ870052

Ahmet I. Seven

Publication date: 12 March 2007

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406545

zbMATH Keywords

diagramsDynkin graphs


Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Cluster algebras (13F60) Associative rings and algebras arising under various constructions (16S99)


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Polynomial recognition of cluster algebras of finite type, Tame concealed algebras and cluster quivers of minimal infinite type., Mutation classes of finite type cluster algebras with principal coefficients, Cluster-concealed algebras., On the mutation loops of valued quivers, Derived equivalence classification for cluster-tilted algebras of type \(A_n\)., Partial flag varieties and preprojective algebras., Cluster algebras and semipositive symmetrizable matrices, The Mutation Class ofDnQuivers, Quivers of finite mutation type and skew-symmetric matrices, Cluster algebras and triangulated surfaces. I: Cluster complexes, Companion bases for cluster-tilted algebras, Mutation classes of diagrams via infinite graphs



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