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I see in Wikipeida that every Lie algebra is either constructed from an associative algebra by defining: $[x,y]=xy-yx$, or a subalgebra of a Lie algebra thus constructed. Where can I find a proof?

Moreover, is there any existing example of a Lie algebra which cannot from constructed in this way be an associative algebra?

Thanks a lot :)

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    See http://math.stackexchange.com/questions/3031/cayleys-theorem-for-lie-algebras2012-11-06

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