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Results tagged with lie-groups
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user 21999
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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A statement on a connected semisimple non-compact Lie group with finite center
Let us first show that a semisimple Lie group with finite center is non-compact if and only if its Lie algebra contains a copy of $sl(2,R)$.
Indeed, if $G$ is compact, the Killing form is negative d …
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