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arxiv: 1402.1094 · v1 · pith:S7IQFPYEnew · submitted 2014-02-05 · 🧮 math.QA · math.CO

Quantisation Spaces of Cluster Algebras

classification 🧮 math.QA math.CO
keywords algebrasclusterquantisationquantisationsadmitarticleberenstein-zelevinskyconcerns
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The article concerns the existence and uniqueness of quantisations of cluster algebras. We prove that cluster algebras with an initial exchange matrix of full rank admit a quantisation in the sense of Berenstein-Zelevinsky and give an explicit generating set to construct all quantisations.

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