Let $G$ be a non-discrete Lie group. Can the connected component of its identity ($G_e$) be presented as the union of its Lie connected subgroups of dimension 1: $$G_e = \bigcup\{ \text{Lie connected subgroups of } G \text{ of dimension } 1 \}?$$
2026-04-14 08:00:21.1776153621
Recovering the connected component of the identity in a Lie group from its Lie connected subgroups of dimension 1
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