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Spin Calogero-Moser systems associated with simple Lie algebras

Luen-Chau Li·Ping Xu
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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.

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BibTeXRIS

Luen-Chau Li, Ping Xu. 2000-09-19. Spin Calogero-Moser systems associated with simple Lie algebras. https://doi.org/10.1016/s0764-4442(00)00508-5

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