Timeline for integrating a character of a non-archimedean local field
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 2, 2011 at 17:41 | comment | added | Justin Campbell | @Peter,Kimball: Thanks, I figured it out from those hints. | |
| Jun 2, 2011 at 17:28 | comment | added | Peter McNamara | If G cpt gp, psi:G to C^* any group hom, then integral of psi(x) over G is either 0 or vol(G) according to psi nontrivial or trivial. This is all you need. | |
| Jun 2, 2011 at 16:54 | comment | added | Kimball | Whoops, the $\varp$ should of course be $\varpi$, which is just $\pi$ in your notation. | |
| Jun 2, 2011 at 16:53 | comment | added | Kimball | I would say this is more like an exercise and more appropriate for StackExchange (I personally don't care, but based on other comments I have seen). Here's a hint: first work out the $r=0$ case. Decompose $\mathcal O_F = \cup \varp^r \mathcal O_F^\times$ and compute the volme of $\varpi^r \mathcal O_F^\times$ with respect to the additive measure. | |
| Jun 2, 2011 at 16:46 | comment | added | Justin Campbell | Sorry about the broken code: it looks fine to me! Could someone who knows more about Latex on MathOverflow fix this? | |
| Jun 2, 2011 at 16:42 | history | asked | Justin Campbell | CC BY-SA 3.0 |