(地图)

American Gamelan and the Ethnomusicological Imagination Pub Date : 2020-03-03 DOI:10.2307/j.ctvwh8dqq.19

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引用次数: 0

摘要

．研究复空间上实李群的一类作用。利用矩映射技术，我们建立了一个商的存在性和一个版本的Luna的切片定理，以及一个版本的Hilbert-Mumford准则。证明了适当动作的一个全局切片定理。给出了关于群分解和齐次空间的Mostow结果的新证明。

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[Map]

. We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna’s slice theorem as well as a version of the Hilbert-Mumford criterion. A global slice theorem is proved for proper actions. We give new proofs of results of Mostow on decompositions of groups and homogeneous spaces.

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