Spin Calogero-Moser systems associated with simple Lie algebras

Details Spin Calogero-Moser systems associated with simple Lie algebras Spin Calogero-Moser systems associated with simple Lie algebras

2000-09-19

arxiv.org/abs/math/0009180v1

C. R. Acad. Sci. Paris Serie I, Vol 331, No 1, 55-61

Mathematics

Symplectic Geometry

6 pages

Scientific paper

10.1016/S0764-4442(00)00508-5

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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