Timeline for Finite group ${\rm Sp}_4({\Bbb F}_3)$: involutions coming from a 4-dimensional complex representation
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
May 18, 2020 at 12:38 | vote | accept | Mikhail Borovoi | ||
May 18, 2020 at 7:46 | answer | added | Derek Holt | timeline score: 6 | |
May 17, 2020 at 22:06 | comment | added | Derek Holt | I imagine that the involutive automorphism is the outer automorphism induced within the conformal group ${\rm CSp}(4,3)$, which contains ${\rm Sp}(4,3)$ as a subgroup of index $2$ (some people denote that by ${\rm GSp}(4,3)$ ). I am not really sure what you are asking in Question 1 - there are two 4-dimensional complex representations, which are interchanged by complex conjugation, and also by the outer automorphism. (So the representations are not fixed by complex conjugation, but their images can be chosen so that they are fixed.) | |
May 17, 2020 at 14:51 | history | edited | Mikhail Borovoi |
edited tags
|
|
May 17, 2020 at 14:38 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
edited title
|
May 17, 2020 at 14:20 | history | asked | Mikhail Borovoi | CC BY-SA 4.0 |