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Results tagged with lie-groups
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user 18850
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
5
votes
1
answer
837
views
Why a nilpotent Lie group must be a matrix group?
The question may be a little naive (or even appear as a duplicate) as I guess the result is well known. I saw on the other thread that
"
c) A solvable Lie group G is linear iff its commutator subgro …
- 6,249
10
votes
Accepted
what is the universal cover of GL(2,R)?
For the sake of completeness here is an explicit proof. Let $m\in GL_{2}(\mathbb{R})^{+}$, then $m\rightarrow \frac{m}{\det(m)}$ maps it to an element in $SL_{2}(\mathbb{R})$. And we know $SL_{2}(\mat …
- 6,249