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All Derivations of Semisimple Lie Algebras are Inner « The Unapologetic Mathematician
https://unapologetic.wordpress.com/2012/09/11/all-derivations-of-semisimple-lie-algebras-are-inner/
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lie algebras
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It turns out that all the derivations on a semisimple Lie algebra $latex L$ are inner derivations. That is, they’re all of the form $latex \mathrm{ad}(x)$ for some $latex x\in L$. We know tha…