I have just learnt about fibrations and I saw somewhere the following. Given a compact lie group $G$, one can consider a maximal torus $T$ of $G$ then the quotient map $G\rightarrow G/T$ is a fibration. Does anyone know why this is true? Thanks in advance
2026-05-05 03:32:53.1777951973
Why is the quotient map $G\rightarrow G/T$ a fibration?
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This is a corollary of a result of Ehresman: If $p:M\rightarrow N$ is a submersion between compact connected manifolds, it is a locally trivial fibration.
https://en.wikipedia.org/wiki/Ehresmann%27s_lemma