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Spin Calogero-Moser systems associated with simple Lie algebras

Symplectic Geometry 2009-10-31 v1 High Energy Physics - Theory Quantum Algebra

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 rr-matrix theory for constant rr-matrices.

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Cite

@article{arxiv.math/0009180,
  title  = {Spin Calogero-Moser systems associated with simple Lie algebras},
  author = {Luen-Chau Li and Ping Xu},
  journal= {arXiv preprint arXiv:math/0009180},
  year   = {2009}
}

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6 pages