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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