Bihamiltonian elliptic structures
classification
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hep-thnlin.SI
keywords
ellipticpoissonstructuresalgebraassociatedbihamiltoniancasimircombination
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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.
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