Mutation classes of skew-symmetrizable 3×3 matrices

DOI10.1090/S0002-9939-2012-11477-7zbMath1260.05168arXiv1012.3318OpenAlexW2963177624MaRDI QIDQ4910762

Ahmet I. Seven

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3318

zbMATH Keywords

skew-symmetrizable matricesFomin-Zelevinsky's theory of cluster algebras

Mathematics Subject Classification ID

Related Items (4)

Growth rate of cluster algebras ⋮ Geometric description of \(C\)-vectors and real Lösungen ⋮ Maximal green sequences of skew-symmetrizable \(3\times 3\) matrices ⋮ Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion

Uses Software

• quivermutation

Cites Work

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• Skew-symmetric cluster algebras of finite mutation type
• Cluster-cyclic quivers with three vertices and the Markov equation. (With an appendix by Otto Kerner).
• Cluster algebras. II: Finite type classification
• Cluster Algebras of Finite Mutation Type Via Unfoldings
• Mutation Classes of 3×3 Generalized Cartan Matrices
• Cluster algebras and semipositive symmetrizable matrices
• Cluster algebras, quiver representations and triangulated categories
• From triangulated categories to cluster algebras II
• Mutation Classes of Skew-Symmetric 3 × 3-Matrices
• CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES

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