Timeline for Triality of Spin(8)
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 10, 2023 at 4:27 | comment | added | Daniel Sebald | Isn’t $Out(2\cdot Spin_0(4,4))$ larger (order 24)? | |
| Dec 21, 2012 at 15:28 | answer | added | Robert Bryant | timeline score: 15 | |
| Dec 18, 2012 at 21:55 | answer | added | Peter May | timeline score: 7 | |
| Dec 18, 2012 at 20:16 | answer | added | Aliakbar Daemi | timeline score: 4 | |
| Dec 18, 2012 at 4:02 | answer | added | Marty | timeline score: 22 | |
| Dec 18, 2012 at 3:23 | comment | added | Robert Bryant | Is the explicit formula using octonion multiplication acceptable as an explanation? | |
| Dec 18, 2012 at 1:45 | comment | added | Alexander Woo | You ask for an explicit construction of these automorphisms. Unfortunately, there are a number of different ways to understand Spin(8) explicitly, and without knowing how you understand Spin(8) explicitly, we can't really figure out how to answer your question in a way that's useful to you. | |
| Dec 18, 2012 at 1:17 | history | edited | Rami |
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| Dec 18, 2012 at 0:20 | comment | added | David Roberts♦ | There's an answer that uses symmetries of the Dynkin diagram, en.wikipedia.org/wiki/File:Dynkin_diagram_D4.png in that the automorphisms of D4 (the relation to $S_3$ should be obvious) give rise to automorphisms of the Lie algebra $so(8)$, and then of $Spin(8)$, and these are outer automorphisms. | |
| Dec 18, 2012 at 0:11 | history | asked | Aliakbar Daemi | CC BY-SA 3.0 |
