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Results tagged with lie-groups
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user 43107
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
30
votes
Accepted
In any Lie group with finitely many connected components, does there exist a finite subgroup...
An immediate consequence of Theorem 3.1(ii) of Ch. XV of Hochschild's book "The structure of Lie groups" is that in such a Lie group, maximal compact subgroups meet every connected component (and are …
- 1,623
2
votes
About structure of parabolic subgroups of finite classical algebraic groups
It is a general fact that if $P$ is a parabolic $k$-subgroup of an arbitrary connected reductive group $G$ over an arbitrary field $k$ then $U := \mathscr{R}_u(P)$ has a canonical $P$-equivariant filt …
- 1,623