Timeline for Is there a higher categorical structure which models the (higher) conjugation actions of a group acting on itself?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2022 at 16:45 | comment | added | მამუკა ჯიბლაძე | Pity I cannot say more, but at some point I was trying to unravel the structure that begins with the set of objects $G$ and morphisms generated by $[x,y]:yx\to xy$. I believe I managed to show that this much comprises a braiding and that the conjugation action is not more and not less than that. Most likely for topological or simplicial groups one can build on top of that all the higher structure but I never came to looking into that. | |
| May 11, 2021 at 13:47 | vote | accept | Chris H | ||
| May 9, 2021 at 10:48 | answer | added | Tim Porter | timeline score: 3 | |
| May 8, 2021 at 22:34 | comment | added | Fernando Muro | As you probably known, $G\to Aut(G)$ is a crossed module, i.e. a category in groups. You can go one step further and consider the crossed square of a crossed module. It should be possible to go ahead using $cat^n$-groups for instance. | |
| May 8, 2021 at 14:31 | history | asked | Chris H | CC BY-SA 4.0 |