Positivity and tameness in rank 2 cluster algebras (Q472635)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positivity and tameness in rank 2 cluster algebras |
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Positivity and tameness in rank 2 cluster algebras (English)
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19 November 2014
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The authors show that a rank 2 cluster algebra \(\mathcal{A}(b,c)\) has a basis of indecomposable positive elements if and only if it is of finite or affine type. This statement disagrees with a conjecture by \textit{V. V. Fock} and \textit{A. B. Goncharov} [Ann. Sci. Éc. Norm. Supér. (4) 42, No. 6, 865--930 (2009; Zbl 1180.53081)].
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cluster algebras
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positivity
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tameness
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