Generalized cluster structure on the Drinfeld double of $GL_n$

Published 2 Jul 2015 in math.QA | (1507.00452v2)

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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