Timeline for Characters of tori in finite reductive group
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 8, 2023 at 13:06 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 10, 2023 at 13:06 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Nov 10, 2022 at 13:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 13, 2022 at 12:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 12, 2022 at 13:06 | comment | added | LSpice | @Dr.Evil, indeed, for $p \ne 2$ (otherwise there is no non-trivial character!) the desired extension is $g \mapsto \operatorname{sgn}_k(\det(g))$. | |
| Jun 12, 2022 at 11:28 | answer | added | Jason Starr | timeline score: 1 | |
| Jun 10, 2022 at 6:28 | comment | added | Dr. Evil | I think the order 2 character of maximal torus of PGL_2 actually extends to all of PGL_2(k). (Note abelianization of PGL_2(k) is nontrivial) | |
| Jun 10, 2022 at 1:57 | comment | added | Jason Starr | What about $\textbf{PGL}_2$, then? | |
| Jun 10, 2022 at 0:25 | comment | added | Dr. Evil | But the centre of SL_2 is disconnected (in characteristic not equal to 2). | |
| Jun 9, 2022 at 23:08 | comment | added | Will Sawin | Isn't the order $2$ character of the split torus of $SL_2(\mathbb F_p)$ a counterexample? | |
| Jun 9, 2022 at 21:43 | history | asked | Dr. Evil | CC BY-SA 4.0 |