局部紧凑群的振型和余集空间

arXiv - MATH - Group Theory Pub Date : 2024-08-07 DOI:arxiv-2408.03843

Linus Kramer, Raquel Murat García

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引用次数: 0

摘要

让 $G$ 是一个拓扑群，让 $K，L/subseteq G$ 是封闭子群，其中 $K/subseteq L$。我们证明，如果 $L$ 是一个局部紧凑的亲李群，那么映射$q:G/K\to G/L$ 是一个纤度。作为其应用，我们得到了斯克里亚连科、麦迪逊和莫斯特的两个较早的结果。

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Fibrations and coset spaces for locally compact groups

Let $G$ be a topological group and let $K,L\subseteq G$ be closed subgroups, with $K\subseteq L$. We prove that if $L$ is a locally compact pro-Lie group, then the map $q:G/K\to G/L$ is a fibration. As an application of this, we obtain two older results by Skljarenko, Madison and Mostert.

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arXiv - MATH - Group Theory

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