# QUANTISATION SPACES OF CLUSTER ALGEBRAS

@article{Gellert2017QUANTISATIONSO, title={QUANTISATION SPACES OF CLUSTER ALGEBRAS}, author={Florian Gellert and Philipp Lampe}, journal={Glasgow Mathematical Journal}, year={2017}, volume={60}, pages={273 - 284} }

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.

#### One Citation

Sequential structures in cluster algebras and representation theory

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The thesis deals with a range of questions in cluster algebras and the representation theory of quivers. In particular, we provide solutions to the following problems:
1. Does a cluster algebra… Expand

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