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Spin Calogero-Moser systems associated with simple Lie algebras | | Luen-Chau Li
; Ping Xu
; | | Date: |
20 Sep 2000 | | Journal: | C. R. Acad. Sci. Paris Serie I, Vol 331, No 1, 55-61 | | Subject: | Symplectic Geometry; Quantum Algebra | math.SG hep-th math.QA | | 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. | | Source: | arXiv, math.SG/0009180 | | Services: | Forum | Review | PDF | Favorites | |
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