Quantum cluster algebras and their specializations
Representation Theory
2020-08-27 v2
Abstract
We show that in case a cluster algebra coincides with its upper cluster algebra and the cluster algebra admits a grading with finite dimensional homogeneous components, the corresponding Berenstein-Zelevinsky quantum cluster algebra can be viewed as a flat deformation of the classical cluster algebra.
Cite
@article{arxiv.1807.09826,
title = {Quantum cluster algebras and their specializations},
author = {Christof Geiß and Bernard Leclerc and Jan Schröer},
journal= {arXiv preprint arXiv:1807.09826},
year = {2020}
}
Comments
11 pages, v2: small corrections and improvements after referee report. Final version, to appear in J. Algebra