Timeline for Irreducible representations of $\text{SL}(2, \mathbb{F}_q)$ which don't exist in decomposition?
Current License: CC BY-SA 3.0
8 events
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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 |