Spin Calogero-Moser systems associated with simple Lie algebras

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We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.

Original languageEnglish (US)
Pages (from-to)55-60
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number1
StatePublished - Jul 1 2000

All Science Journal Classification (ASJC) codes

  • General Mathematics


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