Timeline for Representation theory of $\text{SL}(2,\mathbb{Z})$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2022 at 1:32 | answer | added | Andy Putman | timeline score: 9 | |
| Apr 7, 2022 at 0:51 | answer | added | Will Sawin | timeline score: 14 | |
| Apr 6, 2022 at 23:07 | answer | added | Konstantinos Kanakoglou | timeline score: 2 | |
| Apr 6, 2022 at 22:49 | comment | added | Carl-Fredrik Nyberg Brodda | @DaveWasHere Re: references for the presentation (at least), this is not too difficult, and can be found e.g. in Serre's "Trees" on page 81, though the presentation was known since at least Reidemeister in the 30s, but I'm certain it was known explicitly earlier too. | |
| Apr 6, 2022 at 22:24 | comment | added | DaveWasHere | Thanks! Any references? I am not an expert so this would be helpful. | |
| Apr 6, 2022 at 21:50 | comment | added | YCor | This group has a simple presentation, namely $\langle x,y\mid x^4=y^6=x^2y^{-3}=1\rangle$. So its representations are not that mysterious. Notably those factoring through $\mathrm{PSL}_2(\mathbf{Z})$ corresponds to pairs $(x,y)$ in the target group with $x^2=y^3=1$. Of course this is not exactly a representation, but spaces of representations should be accessible using this. | |
| Apr 6, 2022 at 21:47 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Apr 6, 2022 at 21:38 | history | asked | DaveWasHere | CC BY-SA 4.0 |