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Feb 19, 2016 at 10:58 comment added A Stasinski It should be noted that using the maximal torus $T$ etc. is not necessary to develop Deligne-Lusztig theory. No subsequent expositions of the theory that I know of use these objects, and this indicates that the maximal torus $T$ is not particularly helpful mathematically and seems to be mostly an aesthetic choice. In fact, Deligne and Lusztig quickly make a choice (Section 1.7) and most of the subsequent results are worked out using a choice (which of course doesn't matter).
Feb 18, 2016 at 19:42 history edited Oly CC BY-SA 3.0
Included additional index as necessary for clarity
Feb 17, 2011 at 17:16 history edited Marty CC BY-SA 2.5
Corrected a mathematical error.
Dec 24, 2010 at 21:57 history edited LSpice CC BY-SA 2.5
Too much conjugation; why is the isomorphism well determined?; Int -> \operatorname{Int}
Dec 21, 2010 at 5:10 history edited Marty CC BY-SA 2.5
grammar/spelling.
Dec 21, 2010 at 5:02 history answered Marty CC BY-SA 2.5