Quantisation Spaces of Cluster Algebras

Gellert, Florian, Lampe, Philipp (2018) Quantisation Spaces of Cluster Algebras. Glasgow Mathematical Journal, 60 (2). pp. 273-284. ISSN 0017-0895. (doi:10.1017/S0017089517000076) (KAR id:67638)

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Official URL: https://dx.doi.org/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 quanti- sation in the sense of Berenstein-Zelevinsky and give an explicit generating set to construct all quantisations.

Item Type:	Article
DOI/Identification number:	10.1017/S0017089517000076
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Philipp Lampe
Date Deposited:	16 Jul 2018 16:23 UTC
Last Modified:	05 Nov 2024 11:08 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/67638 (The current URI for this page, for reference purposes)

University of Kent Author Information

Lampe, Philipp.

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