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Jul 26, 2016 at 19:39 comment added LSpice Ram has helpfully made the Steinberg lecture notes available online: ms.unimelb.edu.au/~ram/Resources/YaleNotes.pdf .
Mar 11, 2010 at 17:11 vote accept user717
Mar 11, 2010 at 17:11 comment added user717 Great! Thanks a lot for your detailed answer.
Mar 10, 2010 at 3:46 history edited BCnrd CC BY-SA 2.5
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Mar 10, 2010 at 2:59 history edited BCnrd CC BY-SA 2.5
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Mar 10, 2010 at 0:48 comment added BCnrd I should also add that the theory of split groups over the prime field explains why the structure constants should be able to be chosen to depend only on the characteristic of the field, and the theory of split groups over $\mathbf{Z}$ explains why the structure constants can be chosen in a universal manner depending only on the root datum. (Of course, one has to then prove the Isom/Existence/Isogeny Theorems over $\mathbf{Z}$, which is done in SGA3 using a lot of preliminaries and Weil's birational group laws over Dedekind domains.)
Mar 10, 2010 at 0:44 history edited BCnrd CC BY-SA 2.5
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Mar 9, 2010 at 23:34 history answered BCnrd CC BY-SA 2.5