How to show that there is no semisimple Lie group can act transitively on the Klein bottle?
So in general, if $X$ is a homogeneous space of a solvable Lie group. Is it true that $X$ can't be written as a homogeneous space of a semisimple Lie group?
2026-03-25 13:05:00.1774443900
No semisimple Lie group acting on Klein bottle
202 Views Asked by user328669 https://math.techqa.club/user/user328669/detail AtRelated Questions in ALGEBRAIC-TOPOLOGY
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