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I would appreciate any reference that contains either a translation or proof of the main theorem in this paper. Thank you in advanced.

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  • $\begingroup$ I edited to correct the link, since it was not using the stable URL and hence was broken. $\endgroup$
    – José Figueroa-O'Farrill
    Commented Jun 23, 2015 at 22:36

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Perhaps Robert Bryant's "Recent advances in the theory of holonomy" would be a good place to start.

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