Timeline for To what extent does the $(\mathfrak{g},K_{\infty})$ module determines the automorphic representation?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 6, 2019 at 19:07 | comment | added | Wenzhe | @reuns Yes I did, and this also shows the $\infty$ part only contains very limited information. I thought the $GL_2$ case might be very different. | |
| Jan 6, 2019 at 18:59 | vote | accept | Wenzhe | ||
| Jan 6, 2019 at 17:13 | comment | added | reuns | Did you look at the $GL_1$ case, if $\chi$ is a Dirichlet character modulo $q^k$ with $q$ prime then $\omega(x) = sign(x_\infty)^{(1-\chi(-1))/2} \chi(\frac{x_q}{q^{v_q(x_q)}} \bmod q^{k}) \prod_{p \ne q} \chi(p)^{-v_p(x_p)}$ is an automorphic form and representation. | |
| Jan 6, 2019 at 4:37 | answer | added | Peter Humphries | timeline score: 9 | |
| Jan 5, 2019 at 20:43 | history | asked | Wenzhe | CC BY-SA 4.0 |