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Results tagged with lie-groups
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user 7671
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
19
votes
3
answers
5k
views
What is the outer automorphism group of SU(n)?
All the automorphisms of $SU(2)$ seem to be inner, which would mean that $\mathrm{Out}$ $SU(2)$ is trivial. Is that correct? Is this true in general $SU(n)$? I can't quite see -- any thoughts would be …
- 657
3
votes
0
answers
2k
views
How big is the center of an orthogonal group?
How big is the center of an arbitrary orthogonal group $O(m,n)$?
In the special case of the "circle group" $O(2)$, it's clear that $|\zeta O(2)|$ = 1. In the case of $O(3)$, it seems clear that the c …
- 657