Timeline for $Spin(6,2) = SU(2, 2, \mathbb{H})$
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3, 2022 at 15:39 | comment | added | Hinanana | Now I would disagree to myself more than half a year ago. They are totally different things. | |
| Feb 15, 2022 at 17:23 | comment | added | Hinanana | @Callum: I think so for the second question: if you see Helgason P.527 for an alternative definition of $SO^*(8)$, it looks very much like the definition of $SU(2,2,\mathbb{H})$ after identifying $\mathbb{H}$ as 2-by-2 matrices over $\mathbb{C}$. | |
| Feb 15, 2022 at 10:43 | vote | accept | Hinanana | ||
| Feb 15, 2022 at 0:37 | comment | added | Torsten Schoeneberg | @Callum: First question, yes (certainly). Second question, possibly ... | |
| Feb 15, 2022 at 0:21 | comment | added | Callum | +1. Am I correct in saying this is an isomorphism of two of the real forms of $Spin(8)$ (or $\mathfrak{so}(8)$) due to triality? Is $SU(2,2,\mathbb{H})$ the same thing that I often see called $SO^*(8)$? | |
| Feb 14, 2022 at 21:27 | history | answered | Torsten Schoeneberg | CC BY-SA 4.0 |