Timeline for Representation theory of $\operatorname{GL}_2(\mathbb Z/n\mathbb Z)$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jul 14, 2022 at 18:21 | history | suggested | Samuel Adrian Antz | CC BY-SA 4.0 |
Added \operatorname to GL and added missing \mathbb to one Z.
|
| Jul 14, 2022 at 16:41 | review | Suggested edits | |||
| S Jul 14, 2022 at 18:21 | |||||
| Aug 17, 2020 at 8:38 | comment | added | A Stasinski | @Asvin I have fixed the links in that question. | |
| Aug 17, 2020 at 6:06 | comment | added | Asvin | @AStasinski Could you please tell me which paper of Onn the linked quesion refers to? The link there no longer seems to be working. | |
| Aug 13, 2020 at 10:57 | comment | added | A Stasinski | You can find further references in the answers to this question: mathoverflow.net/q/87254/2381. For the dimensions and multiplicities for $\mathrm{GL}_2$, Onn's paper is a convenient reference. As far as I know, the case $\mathrm{PGL}_2$ has not been written down (and may require $p>2$ to be manageable). I don't think anyone has studied the minimal fields of definition. | |
| Aug 12, 2020 at 21:33 | comment | added | Asvin | Thank you, I will take a look at the references and see if it helps in my case! | |
| Aug 12, 2020 at 21:26 | comment | added | Kimball | And related for $\mathbb Z_\ell$: mathoverflow.net/q/89184/6518 (I think there are other related questions on this site but can't find them now) | |
| Aug 12, 2020 at 21:25 | comment | added | Kimball | The case of $n=p$ is of course well known, e.g., Piatetskii-Shapiro's book. For n squarefree, you can write GL(2,n) as a product of GL(2,p)'s. Similarly, you can reduce to the case of GL(2) over $\mathbb Z/p^r \mathbb Z$, if this helps. | |
| Aug 12, 2020 at 19:44 | comment | added | AlexIvanov | You might try to look at arxiv.org/pdf/0807.4684.pdf Also, it should be worth to take a look at other related articles of Stasinski. Also, you may find some relevant information in the book of Bushnell--Henniart, "The Local Langlands conjecture for $GL_2$" | |
| Aug 12, 2020 at 16:36 | history | asked | Asvin | CC BY-SA 4.0 |