Bihamiltonian elliptic structures

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We construct three compatible quadratic Poisson structures such that generic linear combination of them is associated with Elliptic Sklyanin algebra in n generators. Symplectic leaves of this elliptic Poisson structure is studied. Explicit formulas for Casimir elements are obtained.
AMStex, 8 pages, minor changes

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Quantum Algebra, High Energy Physics - Theory, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/66002

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212210
 http://arxiv.org/abs/math/0212210

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arXiv