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 contribution||Spin Calogero-Moser systems associated with simple Lie algebras|
|Number of pages||6|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Jul 1 2000|
All Science Journal Classification (ASJC) codes