Drinfeld double of G L n and generalized cluster structures:

Misha Gekhtman, Michael Shapiro, Alek Vainshtein

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)429-484
Number of pages56
JournalProceedings of the London Mathematical Society
Issue number3
StatePublished - Mar 2018

Bibliographical note

Publisher Copyright:
© 2017 London Mathematical Society.

ASJC Scopus subject areas

  • General Mathematics


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