Timeline for What is the conductor of an automorphic representation for $\Gamma_0(q)$ in $GSp(4)$?
Current License: CC BY-SA 4.0
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| Apr 6, 2023 at 6:41 | comment | added | Desiderius Severus | @PeterHumphries Yes I do mean right-invariance, and $q$ is minimal there. And I would like to understand how these two notions of "level" relate in the case of both $\rho_1$ and $\rho_2$ | |
| Apr 5, 2023 at 15:09 | answer | added | David Loeffler | timeline score: 4 | |
| Apr 5, 2023 at 14:29 | comment | added | Peter Humphries | As it stands, I'm not sure that this question is well-posed. What do you mean by the level of a cuspidal automorphic representation $\pi$ of $\mathrm{GSp}_4$? Do you mean that there exists a cuspidal automorphic form that is right-invariant by the adelisation of $\Gamma_0(q)$? Is $q$ the minimal such level among all such automorphic forms in $\pi$? Also when you write $\Lambda(s,\pi)$, do you mean $\Lambda(s,\pi,\rho_1)$ or $\Lambda(s,\pi,\rho_2)$? | |
| Apr 5, 2023 at 14:05 | history | asked | Desiderius Severus | CC BY-SA 4.0 |