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Timeline for On Weil's characters of type (A)

Current License: CC BY-SA 3.0

8 events
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Feb 15, 2014 at 18:18 history edited Keerthi Madapusi CC BY-SA 3.0
improved formatting
Jan 31, 2013 at 23:05 vote accept Hugo Chapdelaine
Jan 31, 2013 at 21:23 comment added Keerthi Madapusi Also, as Florian points out in the comments above, pretty much the same proof appears in Patrikis's thesis.
Jan 31, 2013 at 21:13 comment added Keerthi Madapusi Edits made. I think the proof is now correct.
Jan 31, 2013 at 21:12 history edited Keerthi Madapusi CC BY-SA 3.0
added 1498 characters in body; deleted 221 characters in body
Jan 31, 2013 at 20:25 comment added Keerthi Madapusi Hi Hugo, you're right! I was confused about why I seemed to be getting post facto that $f_{\sigma\iota}+f_{\bar{\sigma}\iota}$ was independent also of $\sigma$. But of course I need to show this a priori! I'll see if I can fix the argument.
Jan 31, 2013 at 17:10 comment added Hugo Chapdelaine Hi Keerthi, I'm confused about one point. If $Stab(f)=H\leq G_{\mathbf{Q}}$, then you are showing that for all complex conjugation $c\in G_{\mathbf{Q}}$, $cHc^{-1}=H$. But this does not seem to imply that $L:=\bar{\mathbf{Q}}^{H}$ is a CM field. For example, if $L$ is Galois over $\mathbf{Q}$ and not CM, then the condition $cHc^{-1}=H$ is trivially satisfied since $H$ is normal in $G_{\mathbf{Q}}$. Am I right?
Jan 31, 2013 at 1:38 history answered Keerthi Madapusi CC BY-SA 3.0