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

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What is the minimum number of steps for two elements of a Lie algebra to generate the whole ...

Consider a compact, connected and simply connected Lie Group $G$, and two elements in the corresponding Lie algebra $X$ and $Y$. By successive action of exponential map you can get the following eleme …
Weicheng Ye's user avatar