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Dec 10, 2013 at 21:16 comment added ronggang I have read section 8 of Onishchik's book before I am posing the question. So it is clear to me that there is some classification. What I am asking is whether there is a classification using highest weight of the representation with respect to the restricted root system of the real Lie algebra.
Dec 10, 2013 at 18:33 history edited Dietrich Burde CC BY-SA 3.0
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Dec 10, 2013 at 9:53 history edited Dietrich Burde CC BY-SA 3.0
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Dec 10, 2013 at 9:48 history answered Dietrich Burde CC BY-SA 3.0