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Oct 19, 2010 at 9:09 vote accept Sebastian Petersen
Oct 19, 2010 at 1:05 comment added Theo Johnson-Freyd My approach would be something like the following. The statement is clearly true over $K=\mathbb C$, by the theory of Lie groups. So check that it suffices to assume that $K$ is algebraically closed, and then use one of those model-theoretic statements along the lines of "any purely-algebraic theorem true in one algebraically closed field of characteristic zero is true in another".
Oct 18, 2010 at 16:13 answer added Torsten Ekedahl timeline score: 10
Oct 18, 2010 at 15:47 history asked Sebastian Petersen CC BY-SA 2.5