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arXiv 2002-12-16 0 views

Bihamiltonian elliptic structures

Odesskii, Alexander

Original · EN

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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