Integrable spin Calogero-Moser systems

作者: Luen-Chau Li , Ping Xu

DOI: 10.1007/S00220-002-0724-1

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摘要: We introduce spin Calogero-Moser systems associated with root of simple Lie algebras and give the Lax representations (with spectral parameter) fundamental Poisson bracket relations. The integrable models (called in paper) their pairs are then obtained via reduction gauge transformations. For $A_{n}$-type, this new class includes usual as subsystems. Our method is guided by a general framework which we develop here using dynamical algebroids.

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