Symplectic structures associated to Lie-Poisson groups
Symplectic structures associated to Lie-Poisson groups
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与李泊松群相关的辛结构
DOI：
10.1007/bf02105190
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发表时间：
1993
影响因子：
2.4
通讯作者：
A. Malkin
中科院分区：
文献类型：
--
作者：
A. Alekseev;A. Malkin
考虑李群的余切丛和共伴轨道的李-泊松类似物。对于自然泊松括号，对这些流形中的辛叶进行了分类，并描述了相应的辛形式。因此，基里洛夫辛形式的构造被推广到李-泊松群。
The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are classified, and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Lie-Poisson groups.