paper

Bihamiltonian elliptic structures

arXiv:math/0212210

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.

AMStex, 8 pages, minor changes

Bihamiltonian elliptic structures · wovepaper