Generalized cluster structure on the Drinfeld double of GLn

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

Original languageEnglish
Pages (from-to)345-349
Number of pages5
JournalComptes Rendus Mathematique
Issue number4
StatePublished - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2016 Académie des sciences.

ASJC Scopus subject areas

  • General Mathematics


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