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Dec 21, 2010 at 18:42 comment added Jim Humphreys There are two detailed textbook treatments: Carter (Wiley Interscience, 1985), extensive but down-to-earth; Digne & Michel (Cambridge, 1991), more concise and sophisticated. Carter has also written useful surveys, including one translated into Russian: MR1170353 (93j:20034), Karter, R.U. [Carter, Roger William] (4-WARW), Representation theory of finite groups of Lie type over an algebraically closed field of characteristic zero. Translated from the English by N. A. Vavilov. Algebra, 9 (Russian), 5–143, 268, Itogi Nauki i Tekhniki, Vsesoyuz.
Dec 21, 2010 at 17:57 comment added Roman Fedorov Thank you. I am now also pessimistic about the Gelfand-Tseitlin approach. What would be a good introduction to the Deligne-Lusztig theory?
Dec 21, 2010 at 17:55 vote accept Roman Fedorov
Nov 25, 2010 at 16:14 history answered Jim Humphreys CC BY-SA 2.5