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

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 ${\text{GL}}_n$.

arXiv comment84 pages, 30 figures

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Cited by in corpus (2)

• Multiple rational normal forms in Lie theory
• Starfish lemma via birational quasi-isomorphisms