Cluster algebras and semipositive symmetrizable matrices

2008/04/09 by Ahmet Seven, Seven, Ahmet · 2 citations
Mathematics · Physics and Astronomy · #05C50 #05E15 #15A36 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0804.1456

openalex publication_date 2008/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a description of the skew-symmetrizable matrices and their mutation classes which are determined by the generalized Cartan matrices of affine type.

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• Neighboring seeds in affine type: Universal coefficients and finite mutation-type
• Sign-coherence and tropical sign pattern for rank 3 real cluster-cyclic exchange matrices

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