Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups

DOI10.1515/jgt.2011.111zbMath1255.22004arXiv1012.0540OpenAlexW3104939203MaRDI QIDQ3165243

Markus Johannes Stroppel

Publication date: 26 October 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0540

zbMATH Keywords

Lie grouplocally compact grouplinear representationkernelpro-Lie group

Mathematics Subject Classification ID

Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) General properties and structure of other Lie groups (22E20) Other representations of locally compact groups (22D12)

Cites Work

• Correction to ``Free compact groups. I: Free compact abelian groups
• The structure of abelian pro-Lie groups
• Weight and c
• Free compact groups. I: Free compact abelian groups
• On faithful representations of the holomorph of Lie groups
• Locally compact groups, residual Lie groups, and varieties generated by Lie groups
• Faithful representation of Lie algebras
• On some types of topological groups
• A generalization of a theorem of Gleason
• Locally compact groups with many automorphisms
• Topological Abelian Groups
• The compact generation of closed subgroups of locally compact groups
• Pro-Lie groups which are infinite-dimensional Lie groups
• Note on faithful representations and a local property of Lie groups
• Lie groups simply isomorphic with no linear group
• Embedding Theorems for Groups
• On Induced Representations of Groups
• On Monothetic Groups

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