Timeline for When is induction to Siegel parabolic of cuspial representation reducible
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| Aug 1, 2011 at 22:30 | comment | added | paul garrett | In any case, in case it helps, this situation is the same as a theta-correspondence (over the finite field) sending functions on an anisotropic O(2) to Sp(4-by-4), by acting on functions on $\mathbb F_q^{2\times 2}$. This does group the characters of the $SO(2)$ usefully. | |
| Aug 1, 2011 at 22:13 | history | asked | Dror Speiser | CC BY-SA 3.0 |