Comment by oliculipolicula
15 days ago
In TFA itself!
The multiplication they call an "alternating [skew-symmetric?] invariant form": Q0 in symbols I think?
Basically a polynomial function in the components of the "superoctonions" that go into the product.that how I'd vibesplain to a fellow non-pro, anyways
P10, sec 2.4 Lemma 2.8
The complex structure itself is much more complicated.. or else alpoge would have posted a one line verification of the result? But a summary that excites everybody can only be done by a pro...
The next relevant thing in the paper though, that I might be able to attempt to vibesplain using my uh consumer knowhow, is "integrability" (starting in the section labelled "Context")
Or one could just ask Fable/ChatGPT to ELI10
yep I have feet wet with complex geometry/analysis but not to decipher lemma 2.8. But instead of asking ELI10 I asked about S^6 complex structure helping to cure O non-associativity and got open research directions for sibling goals more than clear cut "yes, if the paper pass validation we've got some new associative octonions". That may need some healthy challenging.
chat: https://tinyurl.com/4acu6uc3
Well then what are you waiting for :)
You've got the tool, you've got the will