Timeline for What are the equations for $SL_3/SL_2$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 28, 2018 at 4:31 | vote | accept | Question Machine | ||
| Dec 28, 2018 at 4:13 | comment | added | LSpice | @user44191, thanks; I knew that it was a good decision to leave it as a comment rather than an answer. (Maybe a better decision still would have been to wait to comment until after some computation.) | |
| Dec 28, 2018 at 3:11 | answer | added | user44191 | timeline score: 27 | |
| Dec 28, 2018 at 2:37 | comment | added | user44191 | @LSpice I don't think it can; consider the matrix $\begin{pmatrix} 1 & 0 & 1 \\ 0 & 0 & -1 \\ 0 & 1 & 0 \end{pmatrix}$. Additionally, even on that set, the "constraint" isn't exactly "on $a$"; if the bottom-right 2 by 2 has determinant $0$, then $a$ doesn't affect the determinant. | |
| Dec 28, 2018 at 2:20 | comment | added | LSpice | I think that it can just be cut out of $\mathbb A^6$ by thinking of it as $\begin{pmatrix} a & 0 & c \\ 0 & 1 & f \\ g & h & i \end{pmatrix}$, with $a$ constrained so that the determinant is 1. | |
| Dec 28, 2018 at 0:54 | history | asked | Question Machine | CC BY-SA 4.0 |