Compatible Poisson Brackets on Lie Algebras

被引：1
|
作者：
A. V. Bolsinov
A. V. Borisov
机构：
[1] M. V. Lomonosov Moscow State University,
来源：
Mathematical Notes | 2002年 / 72卷
关键词：
compatible Poisson brackets; compatible Hamiltonian representation; Lax representation; integrable Hamiltonian system; bi-Hamiltonian vector field; Lie algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss the relationship between the representation of an integrable system as an L-A-pair with a spectral parameter and the existence of two compatible Hamiltonian representations of this system. We consider examples of compatible Poisson brackets on Lie algebras, as well as the corresponding integrable Hamiltonian systems and Lax representations.
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页码：10 / 30
页数：20
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