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arXiv · 2111.01771

Multiple generalized cluster structures on $D(\text{GL}_n)$

Dmitriy Voloshyn
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Abstract

We produce a large class of generalized cluster structures on the Drinfeld double of $\text{GL}_n$ that are compatible with Poisson brackets given by Belavin-Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on $\text{GL}_n$.

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BibTeXRIS

Dmitriy Voloshyn. 2021-11-02. Multiple generalized cluster structures on $D(\text{GL}_n)$. https://doi.org/10.1017/fms.2023.44

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