Timeline for Does the 3875-dimensional rep of $E_8$ have a solution to $x\star x=0$?
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Nov 28, 2023 at 14:41 | answer | added | Maurice Chayet | timeline score: 1 | |
Jun 24, 2019 at 13:27 | comment | added | Theo Johnson-Freyd | Incidentally, there is an obvious analogous question with E8 replaced by the Monster: does the Griess algebra have a real nilpotent element? Going in the other direction, perhaps it’s worth warming up with small groups preserving unique algebra structures on smaller real representations. | |
Jun 24, 2019 at 6:23 | comment | added | YCor | Guessing that this real representation has a natural form over $\mathbf{Q}$, the given product $\star$ is probably also with rational coefficients, and then one can also ask whether $v\neq 0$ such that $v\ast v=0$ can be chosen with rational entries. | |
Jun 23, 2019 at 19:03 | answer | added | S. Carnahan♦ | timeline score: 17 | |
Jun 23, 2019 at 16:46 | history | asked | Theo Johnson-Freyd | CC BY-SA 4.0 |