Bihamiltonian elliptic structures
Quantum Algebra
2007-05-23 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.math/0212210,
title = {Bihamiltonian elliptic structures},
author = {Alexander Odesskii},
journal= {arXiv preprint arXiv:math/0212210},
year = {2007}
}
Comments
AMStex, 8 pages, minor changes