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arXiv · 1402.1094

Quantisation Spaces of Cluster Algebras

Florian Gellert·Philipp Lampe
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Abstract

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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Florian Gellert, Philipp Lampe. 2014-02-05. Quantisation Spaces of Cluster Algebras. https://doi.org/10.1017/s0017089517000076

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