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Sep 23, 2016 at 22:51 comment added paul garrett In addition to @JimHumphreys observations about pseudo-primitive versus modern approaches, there is a middle ground: the Howe/theta-correspondence pairings, aka "Segal-Shale-Weil repn", of symplectic groups over global, local, or finite fields, (via Stone-vonNeumann theorem and such) do also shed light on the repn theory of $SL_2(\mathbb F_q)$. Depending on one's sequel to this, it might be more interesting/relevant than the Deligne-Lusztig theory (which does, indeed, give a very complete answer in the literal finite-field case).
Sep 23, 2016 at 19:41 history edited Jim Humphreys
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Sep 23, 2016 at 19:33 answer added Jim Humphreys timeline score: 6
Sep 23, 2016 at 6:49 comment added Filippo Alberto Edoardo Can you clarify your notation $\mathbb{C}\{X\}$?
Sep 23, 2016 at 6:39 answer added Victor Protsak timeline score: 8
Sep 23, 2016 at 5:39 answer added Peter McNamara timeline score: 7
Sep 23, 2016 at 0:42 review First posts
Sep 23, 2016 at 1:19
Sep 23, 2016 at 0:37 history asked user98836 CC BY-SA 3.0