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arXiv · 2407.03186

Applications of the freezing operators on cluster algebras

Fan Qin
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Abstract

We apply freezing operators to relate different (quantum) upper cluster algebras. We prove that these operators send localized (quantum) cluster monomials to localized (quantum) cluster monomials. They also send bases to bases in many cases. In addition, the bases constructed via freezing coincide with those constructed via localization.

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Fan Qin. 2024-07-03. Applications of the freezing operators on cluster algebras. https://doi.org/10.1142/s0219498825503578

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