Quantisation Spaces of Cluster Algebras
Quantum Algebra
2017-09-11 v1 Combinatorics
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.
Cite
@article{arxiv.1402.1094,
title = {Quantisation Spaces of Cluster Algebras},
author = {Florian Gellert and Philipp Lampe},
journal= {arXiv preprint arXiv:1402.1094},
year = {2017}
}