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Results tagged with lie-groups
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user 64029
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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cartan killing metric [closed]
I know that we can define the killing form on a lie algebra. However, when going to the group manifold, does this give rise to a metric on the manifold? I thought that would be the case, but I cant fi …
- 293
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Orthosymplectic group, matrix representations
We have the orthosymplectic $osp(n,m|2k)$. The bosonic part is $so(n,m)\times sp(2k)$. The lie algebra generators are given in eg
http://cds.cern.ch/record/524737/files/0110257.pdf$
where the group …
- 293
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Parametrization of SL(3,R)
Are there any known common parametrizations of SL(3,R)? I know that it is easy to obtain a local parametrization by just exponentiating generators from the Lie algebra, but I do not know if they are g …
- 293