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Results tagged with lie-groups
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user 27253
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
1
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Automorphism of a Lie group which preserves a maximal torus is necessarily an inner automorp...
Let $G$ be a connected Lie group with a maximal torus $T$. Suppose $\sigma$ is an automorphism of $G$ so that $\sigma(T)=T$. Then can we conclude that $\sigma$ is an inner automorphism of $G$? (i.e. i …
- 351
3
votes
1
answer
575
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Normal subgroup of the identity component of a linear Lie group is normal in the whole group?
Suppose $G$ is a linear Lie group (i.e. $G$ admits a finite dimensional faithful representation) and $G$ has finitely many connected components. Let $G_0$ be the identity component of $G$. If $N$ is a …
- 351