Timeline for Coordinate-free description of an alternating trilinear form on pure octonions
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 30, 2020 at 23:10 | history | became hot network question | |||
| Nov 30, 2020 at 16:41 | vote | accept | Mikhail Borovoi | ||
| Nov 30, 2020 at 16:03 | answer | added | YCor | timeline score: 8 | |
| Nov 30, 2020 at 15:46 | comment | added | Mikhail Borovoi | @YCor: Thank you, that is an answer! | |
| Nov 30, 2020 at 15:40 | comment | added | YCor | Just from the table: $i(jk)=j(ki)=k(ij)=-i(kj)=-j(ik)=-k(ji)=-1$... | |
| Nov 30, 2020 at 15:27 | comment | added | Mikhail Borovoi | @YCor: Yes, it is clearly invariant and alternating. How did you compute the value on $(i,j,k)$? | |
| Nov 30, 2020 at 15:21 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
added 19 characters in body
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| Nov 30, 2020 at 15:20 | comment | added | YCor | What about $(x,y,z)\mapsto\mathrm{Re}(x(yz)+y(zx)+z(xy)-x(zy)-y(xz)-z(yx))$? It's clearly invariant alternating. On $(i,j,k)$ its value is $-6$, so it's nonzero. | |
| Nov 30, 2020 at 15:07 | history | asked | Mikhail Borovoi | CC BY-SA 4.0 |