SYMPLECTIC STRUCTURES ASSOCIATED TO LIE-POISSON GROUPS

被引：123

作者：

ALEKSEEV, AY ^{[1
]}

MALKIN, AZ ^{[1
]}

机构：

[1] UPPSALA UNIV,INST THEORET PHYS,S-75108 UPPSALA,SWEDEN

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 162卷 / 01期

关键词：

D O I：

10.1007/BF02105190

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：147 / 173

页数：27

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