Quantisation Spaces of Cluster Algebras

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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Bibliographic Details
Published in:arXiv.org 2014-02
Main Authors: Gellert, Florian, Lampe, Philipp
Format: Article
Language:English
Subjects:
Algebra
Clusters
Measurement
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1402.1094