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Bihamiltonian elliptic structures

Alexander Odesskii
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Abstract

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.

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Alexander Odesskii. 2003-01-06. Bihamiltonian elliptic structures. https://arxiv.org/abs/math/0212210

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