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Generalized cluster structure on the Drinfeld double of $$\mathrm{GL}_n$$. (Structures d’algébres amassées généralisées sur le double de Drinfeld du group $$\mathrm{GL}_n$$.) (English. French summary) Zbl 1387.13047
Summary: We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group $$\mathrm{GL}_n$$ and derive from it a generalized cluster structure in $$\mathrm{GL}_n$$ compatible with the push-forward of the dual Poisson-Lie bracket.

##### MSC:
 13F60 Cluster algebras 17B62 Lie bialgebras; Lie coalgebras
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##### References:
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