The structure of abelian pro-Lie groups

DOI10.1007/s00209-004-0685-5zbMath1058.22003OpenAlexW2031920269WikidataQ115388855 ScholiaQ115388855MaRDI QIDQ706126

Sidney A. Morris, Karl Heinrich Hofmann

Publication date: 2 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0685-5

zbMATH Keywords

exponential functionLie groupprojective limitlocally compact groupAbelian topological groupvector subgroup

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General properties and structure of locally compact groups (22D05)

Related Items (5)

Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups ⋮ A duality property of an uncountable product of \({\mathbb{Z}}\) ⋮ Tensor products of topological abelian groups and Pontryagin duality ⋮ Iwasawa's Local Splitting Theorem for Pro-Lie Groups ⋮ An Open Mapping Theorem For Pro-Lie Groups

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• Closed Subgroups of Products of Reals
• Projective Limits of Finite-Dimensional Lie Groups
• The exponential function of locally connected compact abelian groups
• The structure of compact groups. A primer for the student -- a handbook for the expert

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