Drinfeld double of G L n and generalized cluster structures:

Misha Gekhtman; Michael Shapiro; Alek Vainshtein

doi:10.1112/plms.12086

Drinfeld double of G L n and generalized cluster structures:

Misha Gekhtman, Michael Shapiro, Alek Vainshtein

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 GLn and derive from it a generalized cluster structure on GLn compatible with the push-forward of the Poisson bracket on the dual Poisson-Lie group.

Original language	English
Pages (from-to)	429-484
Number of pages	56
Journal	Proceedings of the London Mathematical Society
Volume	116
Issue number	3
DOIs	https://doi.org/10.1112/plms.12086
State	Published - Mar 2018

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© 2017 London Mathematical Society.

ASJC Scopus subject areas

General Mathematics

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title = "Drinfeld double of G L n and generalized cluster structures:",

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 on GLn compatible with the push-forward of the Poisson bracket on the dual Poisson-Lie group.",

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

note = "Publisher Copyright: {\textcopyright} 2017 London Mathematical Society.",

year = "2018",

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doi = "10.1112/plms.12086",

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AU - Gekhtman, Misha

AU - Shapiro, Michael

AU - Vainshtein, Alek

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N2 - 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 on GLn compatible with the push-forward of the Poisson bracket on the dual Poisson-Lie group.

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 on GLn compatible with the push-forward of the Poisson bracket on the dual Poisson-Lie group.

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DO - 10.1112/plms.12086

M3 - Article

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JO - Proceedings of the London Mathematical Society

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Drinfeld double of G L n and generalized cluster structures:

Abstract

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