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arXiv · 1605.05705

Drinfeld double of $GL_n$ and generalized cluster structures

Misha Gekhtman·Michael Shapiro·Alek Vainshtein
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Abstract

We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group $GL_n$ and derive from it a generalized cluster structure on $GL_n$ compatible with the push-forward of the Poisson bracket on the dual Poisson--Lie group.

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Misha Gekhtman, Michael Shapiro, Alek Vainshtein. 2016-05-18. Drinfeld double of $GL_n$ and generalized cluster structures. https://doi.org/10.1112/plms.12086

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