Geodesic
Multiple generalized cluster structures on $D(\mathrm {GL}_n)$
Forum of Mathematics, Sigma, Tome 11 (2023)

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We produce a large class of generalized cluster structures on the Drinfeld double of $\operatorname {\mathrm {GL}}_n$ that are compatible with Poisson brackets given by Belavin–Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on $\operatorname {\mathrm {GL}}_n$. 
@article{10_1017_fms_2023_44,
     author = {Dmitriy Voloshyn},
     title = {Multiple generalized cluster structures on $D(\mathrm {GL}_n)$},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {11},
     year = {2023},
     doi = {10.1017/fms.2023.44},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.44/}
}
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Dmitriy Voloshyn. Multiple generalized cluster structures on $D(\mathrm {GL}_n)$. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.44

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