Displaying similar documents to “Normalizers and centralizers of reductive subgroups of almost connected Lie groups.”

Varieties of topological groups, Lie groups and SIN-groups

Karl Hofmann, Sidney Morris, Markus Stroppel (1996)

Colloquium Mathematicae

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In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups

A decomposition theorem for compact groups with an application to supercompactness

Wiesław Kubiś, Sławomir Turek (2011)

Open Mathematics

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We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

The dynamic of a Lie group endomorphism

Víctor Ayala, Heriberto Román-Flores, Adriano Da Silva (2017)

Open Mathematics

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For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.