Spin Calogero-Moser systems associated with simple Lie algebras
arXiv:math/0009180 · doi:10.1016/S0764-4442(00)00508-5
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.
6 pages