Displaying similar documents to “How frequent are discrete cyclic subgroups of semisimple Lie groups?”

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.

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

An infinite dimensional version of the third Lie theorem

Rybicki, Tomasz

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The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.

Truncated Lie groups and almost Klein models

Georges Giraud, Michel Boyom (2004)

Open Mathematics

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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.