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Results tagged with lie-groups
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user 38302
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
3
votes
1
answer
169
views
Rank of a Lie subgroup generated by two Lie subgroups
$\DeclareMathOperator\rank{rank}$Let $G$ be a compact connected Lie group and $H$, $K$ be two closed connected subgroups. By Mikhail Borovoi's answer to In a compact lie group, can two closed connecte …
- 377
4
votes
1
answer
768
views
lifting group action
Let a Lie group $G$ act on a manifold $M$. Under which condition(s) we have a lifting action of $G$ on the universal covering of $M$?
By Bredon, I already know that there is a group $\widetilde{G}$, …
- 377
0
votes
0
answers
453
views
lie groups and coset manifolds
Let $G$ be a lie group, $H\subseteq K\subseteq G$ be closed subgroups , and $H$ be normal in $G$. I wonder if the coset manifold $\frac{\frac{G}{H}}{\frac{K}{H}}$ is diffeomorphic to $\frac{G}{K}$.
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- 377