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arXiv · 1807.09826

Quantum cluster algebras and their specializations

Christof Geiß·Bernard Leclerc·Jan Schröer
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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.

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Christof Geiß, Bernard Leclerc, Jan Schröer. 2018-07-25. Quantum cluster algebras and their specializations. https://doi.org/10.1016/j.jalgebra.2019.04.033

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