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arXiv · 1507.00452

Generalized cluster structure on the Drinfeld double of $GL_n$

Michael 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 dual Poisson--Lie bracket.

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Michael Gekhtman, Michael Shapiro, Alek Vainshtein. 2015-07-02. Generalized cluster structure on the Drinfeld double of $GL_n$. https://arxiv.org/abs/1507.00452

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