Quantisation Spaces of Cluster Algebras
arXiv:1402.1094 · doi:10.1017/S0017089517000076
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.