Bihamiltonian elliptic structures
量子代数
2007-05-23 v2 高能物理 - 理论
可精确求解与可积系统
摘要
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.
引用
@article{arxiv.math/0212210,
title = {Bihamiltonian elliptic structures},
author = {Alexander Odesskii},
journal= {arXiv preprint arXiv:math/0212210},
year = {2007}
}
备注
AMStex, 8 pages, minor changes