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Aug 22, 2014 at 17:30 history edited Francois Ziegler CC BY-SA 3.0
typo corrected, language improved
Aug 21, 2014 at 10:39 comment added Ryan Thanks, this is useful - I will have to put some thought into how to use this preservation of the lie-bracket to understand the action of a generic element of $\mathrm{Aut}(\mathrm{su}(n))$ - which is also an element of $\mathrm{SO}(n^2-1)$ - on $\mathbb{R}^{n^2-1}$.
Aug 21, 2014 at 10:30 history edited Francois Ziegler CC BY-SA 3.0
Proof added
Aug 21, 2014 at 10:14 history answered Francois Ziegler CC BY-SA 3.0