Generalized cluster structure on the Drinfeld double of GL_n

2015/07/31 by Michael Gekhtman, Michael Shapiro, Alek Vainshtein · 1 citation
Mathematics · #math.QA #msc:53D17 #msc:13F60

paper · pdf

published as C.R. Math. Acad. Sci. Paris 354 (2016), 345-349 · This is a short announcement. The proofs will be published in a subsequent paper. Version 2: several misprints are corrected

arxiv created 2015/12/24 · arxiv updated 2017/10/25

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.

Cited by

• Drinfeld double of GL_n and generalized cluster structures

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