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arXiv · 2412.11628

Quantum cluster variables via canonical submodules

Fan Xu·Yutong Yu
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Abstract

We study quantum cluster algebras from marked surfaces without punctures. We express the quantum cluster variables in terms of the canonical submodules. As a byproduct, we obtain the positivity for this class of quantum cluster algebra.

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BibTeXRIS

Fan Xu, Yutong Yu. 2024-12-16. Quantum cluster variables via canonical submodules. https://doi.org/10.1016/j.jalgebra.2025.11.014

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