Systemes de Calogero-Moser à spins associés aux algèbres de Lie simple

Translated title of the contribution: Spin Calogero-Moser systems associated with simple Lie algebras

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Abstract

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.

Translated title of the contributionSpin Calogero-Moser systems associated with simple Lie algebras
Original languageFrench
Pages (from-to)55-60
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume331
Issue number1
DOIs
StatePublished - Jul 1 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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