How to prove that a compact, connected, abelian Lie group is a torus? It seems very intuitive.
Any reference?
2026-04-25 12:10:43.1777119043
A compact, connected, abelian Lie group is a torus?
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Should be a comment but i haven't got enough reputation :)
This is a classical result in Lie theory and is probably found in any Book about lie groups. Even if you search for scripts of lectures about Lie groups (e.g. on google) you should make a hit. However for example
R. L. Bryant, An Introduction to Lie Groups and Symplectic Geometry
or
M. R. Sepanski, Compact Lie groups.