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Mar 14, 2013 at 14:45 comment added Peter Crooks Your answer is excellent and much appreciated. The references are fantastic!
Mar 13, 2013 at 22:27 history edited Jim Humphreys CC BY-SA 3.0
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Mar 13, 2013 at 17:47 comment added Peter Crooks For instance, is there a splitting of the short-exact sequence $$1\rightarrow H_0\rightarrow H\rightarrow\pi_0(H)\rightarrow 1?$$
Mar 13, 2013 at 17:42 comment added Peter Crooks (I am not assuming $H$ to be connected.)
Mar 13, 2013 at 17:38 comment added Peter Crooks The Lie algebra of my subgroup $H$ is decidedly reductive but not necessarily semisimple. Is there some result I might invoke concerning the "closeness" of $H$ to being reductive? Is it a quotient/central extension, etc. of something reductive?
Mar 13, 2013 at 15:53 vote accept Peter Crooks
Mar 13, 2013 at 15:47 history answered Jim Humphreys CC BY-SA 3.0