By Lie's third theorem, to every finite dimensional Lie-algebra, one can associate a simply connected Lie-group to it. It sounds to me that one can obtain the information about the topology on the Lie-group by its Lie-algebra. Therefore, my question is, is there any direct relation between the topology on the Lie-group and its Lie-algebra?
2026-03-27 13:19:29.1774617569
Topology on the Lie-group based on the Lie algebra
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