On lie groups, cluster variables and integrable systems

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We propose an explicit construction for the integrable models on Poisson submanifolds of the Lie groups. The integrals of motion are computed in cluster variables via the Lax map. This generalized construction for the co-extended loop groups allows to formulate, in general terms, some new classes of integrable models.

Original languageEnglish
Article number1340007
JournalInternational Journal of Modern Physics A
Issue number3-4
Publication statusPublished - 10 Feb 2013
Externally publishedYes


  • cluster varieties
  • Integrable systems

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