Timeline for Is $Spin(N)$ a subgroup of $SU(N)$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 21, 2018 at 18:20 | review | Close votes | |||
| Mar 22, 2018 at 13:31 | |||||
| Mar 21, 2018 at 11:31 | answer | added | David E Speyer | timeline score: 25 | |
| Mar 21, 2018 at 9:54 | comment | added | YCor | @Lam LSpice possibly suggests that you make use of the word "isomorphism", which turns out to be a useful concept. | |
| Mar 21, 2018 at 4:15 | comment | added | Learner | @LSpice Thank you for your comment. My motivation was that $SO(N)$ is a subgroup of $SU(N)$ while $Spin(N)$ is the $Z_2$ extension of $SO(N)$. I was then wondering whether $Spin(N)$ can be viewed as a subset of $SU(N)$. It would be nice to see an argument that it is true or false explictly. | |
| Mar 21, 2018 at 2:03 | comment | added | LSpice | It doesn't even make sense a priori to ask whether $\mathrm{Spin}(N)$ 'is' a subgroup of $\mathrm{SU}(N)$, since they aren't immediately realised in a common overgroup. For the embedding, do you really mean to take the same $N$? Do you want the embedding to be algebraic, or just smooth? | |
| Mar 21, 2018 at 1:55 | history | asked | Learner | CC BY-SA 3.0 |