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May 1, 2013 at 0:24 answer added Jeffrey Adams timeline score: 3
Apr 13, 2013 at 23:03 comment added Jim Humphreys P.S. I finally got around to looking again at the 1949 paper by Borel and de Siebenthal on compact Lie groups. Though I remembered their algorithm and table, which carry over to root systems in algebraic settings, I had completely forgotten their useful Remarque II. I'm not quite sure whether it applies readily to algebraic groups, especially in prime characteristic, but it shortcuts some fundamental group questions (still leaving perhaps a case-free question).
Apr 13, 2013 at 13:03 vote accept Jim Humphreys
Apr 13, 2013 at 13:03 history edited Jim Humphreys CC BY-SA 3.0
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Apr 7, 2013 at 20:17 history edited Jim Humphreys CC BY-SA 3.0
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Apr 7, 2013 at 13:29 history edited Jim Humphreys CC BY-SA 3.0
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Apr 5, 2013 at 20:00 answer added Paul Levy timeline score: 5
Apr 4, 2013 at 19:28 answer added Allen Knutson timeline score: 2
Apr 4, 2013 at 16:40 answer added Marc van Leeuwen timeline score: 1
Apr 4, 2013 at 16:15 comment added Misha Jim: I do not know an answer but one approach would be to look at Dynkin et al classification of maximal subgroups of G. Either you would find a counter example or you can induct. This is a bit unsatisfactory since it requires case-by-case analysis especially in the exceptional cases.
Apr 4, 2013 at 13:47 history asked Jim Humphreys CC BY-SA 3.0