Spin Calogero-Moser systems associated with simple Lie algebras
Luen-Chau Li, Ping Xu
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.
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