Generalized cluster structure on the Drinfeld double of GLn

Michael Gekhtman; Michael Shapiro; Alek Vainshtein

doi:10.1016/j.crma.2016.01.006

Generalized cluster structure on the Drinfeld double of GL_n

Michael Gekhtman, Michael Shapiro, Alek Vainshtein

University of Haifa

Research output: Contribution to journal › Article › peer-review

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 in GL_n compatible with the push-forward of the dual Poisson-Lie bracket.

Original language	American English
Pages (from-to)	345-349
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	4
DOIs	https://doi.org/10.1016/j.crma.2016.01.006
State	Published - 1 Apr 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/j.crma.2016.01.006

Cite this

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title = "Generalized cluster structure on the Drinfeld double of GLn",

abstract = "We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group GLn and derive from it a generalized cluster structure in GLn compatible with the push-forward of the dual Poisson-Lie bracket.",

author = "Michael Gekhtman and Michael Shapiro and Alek Vainshtein",

note = "Publisher Copyright: {\textcopyright} 2016 Acad{\'e}mie des sciences.",

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language = "American English",

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AU - Shapiro, Michael

AU - Vainshtein, Alek

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

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