Generalized cluster structure on the Drinfeld double of GLn

Michael Gekhtman, Michael Shapiro, Alek Vainshtein

Research output: Contribution to journalArticlepeer-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 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
Volume354
Issue number4
DOIs
StatePublished - 1 Apr 2016

Bibliographical note

Funding Information:
M.G. was supported in part by NSF Grant DMS # 1362801 . M.S. was supported in part by NSF Grant DMS # 1362352 . A.V. was supported in part by ISF Grant # 162/12 . He is grateful to Max-Planck-Institut für Matematik, Bonn, for hospitality in September–October 2014.

Publisher Copyright:
© 2016 Académie des sciences.

ASJC Scopus subject areas

  • Mathematics (all)

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