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Jul 15, 2019 at 11:05 comment added Dror Speiser Also, when dealing with the classification of representations of a finite reductive group the dual is taken over the same base field. See for example Digne and Michel's book.
Jul 15, 2019 at 2:18 comment added LSpice Many of the papers by Adler and Lansky, for example Lifting representations of finite reductive groups I, deal with dual groups over the 'original' field (which is (probably) not separably closed).
Jul 15, 2019 at 0:07 answer added Will Sawin timeline score: 8
Jul 14, 2019 at 23:53 history asked safety stegosaurus CC BY-SA 4.0