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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

2 votes

Lie algebra of a compact Lie group and derivations of the Hopf algebra of representative fun...

Some years ago we did something that -I think- answers the algebraic version of your question [FS]. If you have a Hopf algebra $H$, then the counit gives you a map $\varepsilon_* :\mathrm{Hom}(H,H)\t …
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