Timeline for Transitivity of $Spin(7)$ in triples of vectors
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 17, 2016 at 5:27 | vote | accept | Jjm | ||
| Apr 16, 2016 at 18:26 | answer | added | Ben McKay | timeline score: 4 | |
| Apr 16, 2016 at 17:30 | comment | added | asv | If such a transformation always exists, it cannot be unique. Indeed the dimension of the manifold $M$ of triples of mutually orthogonal vectors is 18, while $\dim Spin(7)=28$. If $Spin(7)$ acts transitively on $M$ then the dimension of stabilizer of each triple is $28-18=10$. | |
| Apr 16, 2016 at 16:39 | history | asked | Jjm | CC BY-SA 3.0 |