Identities and Invariant Operators on Homogeneous Spaces

被引:0
作者
I. V. Shirokov
机构
[1] Omsk State University,
来源
Theoretical and Mathematical Physics | 2001年 / 126卷
关键词
Homogeneous Space; Invariant Operator; Transformation Group; Functional Relation; Orbit Method;
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学科分类号
摘要
We study identities (functional relations between the generators of the transformation group) and also algebras of invariant operators on homogeneous spaces using the method of orbits of the coadjoint representation (coadjoint orbits). This method permits establishing the relation between these two objects and elaborating an algorithm for their construction. A classification of homogeneous spaces is introduced based on the coadjoint orbit method.
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页码:326 / 338
页数:12
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