局部紧密群的虚拟李子群

arXiv - MATH - General Topology Pub Date : 2024-07-01 DOI:arxiv-2407.01253

Antoni Machowski

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引用次数: 0

摘要

我们研究了局部紧密群的子群，这些子群是连通的李群的连续同构像，并给出了判断像的标准。我们还提供了一个新的李群特征，以及作为连通局部紧凑群图像的群的特征。

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Virtual Lie subgroups of locally compact groups

We examine subgroups of locally compact groups that are continuous homomorphic images of connected Lie groups and we give a criterion for being such an image. We also provide a new characterisation of Lie groups and a characterisation of groups that are images of connected locally compact groups.

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arXiv - MATH - General Topology

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