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The central aim is to investigate the nature of closed abelian subgroups within the framework of locally compact real Lie groups.

March 29, 2026Journal of Lie theoryOpen Access

On Closed Abelian Subgroups of Real Lie Groups

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The central aim is to investigate the nature of closed abelian subgroups within the framework of locally compact real Lie groups.
Examined properties of abelian subgroups of G/G0
Utilized concepts from real Lie group theory
Established that all abelian subgroups of G/G0 are finite
Provided structural insights into the organization of G

Explores the characteristics of closed abelian subgroups in locally compact real Lie groups, suggesting new structural insights.

Let G be a locally compact real Lie group such that all abelian subgroups of G/G 0 are finite.Assume that

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M. Wuestner (1997) studied this question.

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Explores the characteristics of closed abelian subgroups in locally compact real Lie groups, suggesting new structural insights.

Let G be a locally compact real Lie group such that all abelian subgroups of G/G 0 are finite.Assume that