Timeline for Does local Langlands functoriality preserve genericity?
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| Nov 8, 2016 at 15:58 | comment | added | Marty | Not too bad. The adjoint representation of GL(5), restricted to SO(5), contains a copy of the adjoint representation together with other representations. So the condition would be genericity for the rep. of SO(5), plus regularity of some other L-functions at s=1. I haven't done the branching problem... but it shouldn't be too hard. | |
| Nov 8, 2016 at 0:41 | comment | added | Q-Zh | But it seems hard to compare two adjoint L-functions. For example, what is the answer of that particular example, from Sp(4) to GL(5)? In the Sp(4) and GL(n) case, the Gross-Prasad conjecture is known. | |
| Nov 6, 2016 at 7:35 | history | answered | Marty | CC BY-SA 3.0 |