Timeline for An explicit description of $\operatorname{Isom}(\widetilde{\operatorname{Sl}_2})$
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 7, 2021 at 13:45 | vote | accept | Dinisaur | ||
| Jan 6, 2021 at 0:21 | comment | added | LSpice | (I have deleted my proofreading comments because they are pushing substantive comments below the fold.) | |
| Jan 5, 2021 at 20:54 | comment | added | YCor | Sorry, I should have said $Isom^0$ rather than $Isom^+$. These are the isometries in the identity component, and also those that preserve the orientation on $H^2$. | |
| Jan 5, 2021 at 20:29 | comment | added | Dinisaur | @YCor could you explain this better? as far as I know all isometries of $\widetilde{\operatorname{SL}_2}$ are orientation preserving, the identity component of which comes from $\operatorname{Isom}^+(\mathbb{H}^2)$ and the other component from $\operatorname{Isom}^-(\mathbb{H}^2)$ as a central product with $\mathbb{R}$. | |
| Jan 5, 2021 at 20:21 | comment | added | YCor | One can easily describe $\mathrm{Isom}^+(\widetilde{\mathrm{SL}_2})$ as central product of $\widetilde{\mathrm{SL}_2}$ and $\mathbf{R}$, and there's a analogous hardly more complicated description for the whole isometry group. Is this what you're looking for? | |
| Jan 5, 2021 at 20:19 | comment | added | YCor | @LSpice Even if reasonably common, I think Sl, Gl are wrong analogues of Sp (which is correct since p is not an initial). | |
| Jan 5, 2021 at 19:42 | comment | added | Dinisaur | @LSpice Thanks for all the fixing! $\Gamma$ is indeed the indentity componend of $\operatorname{Isom}(\widetilde{SL_2})$ | |
| Jan 5, 2021 at 19:07 | answer | added | Tom Goodwillie | timeline score: 5 | |
| Jan 5, 2021 at 18:26 | comment | added | YCor | @LSpice It's SL, rather than Sl. PSl is a bit absurd, since these are 3 initials (Projective Special Linear) | |
| Jan 5, 2021 at 16:59 | history | edited | LSpice | CC BY-SA 4.0 |
Proofreading; names of references
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| Jan 5, 2021 at 16:55 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Jan 5, 2021 at 16:43 | review | First posts | |||
| Jan 5, 2021 at 17:03 | |||||
| Jan 5, 2021 at 16:39 | history | asked | Dinisaur | CC BY-SA 4.0 |