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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.
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
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