Timeline for Meaning of the coadjoint representation and its orbits
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 31, 2022 at 12:27 | answer | added | Alexander Chervov | timeline score: 5 | |
| Dec 30, 2022 at 21:59 | comment | added | LSpice | I can't say anything as comprehensive as @NinjaDarth's answer, but, in the spirit of @IvanSolonenko's comment, I think one reason that it's hard to see the significance of the coadjoint representation is that, in characteristic $0$, it's the same as the adjoint representation (at least for semisimple groups)! In positive characteristic they can differ, and the coadjoint representations can be more useful; see, for example, Kac and Weisfeiler - Coadjoint …. | |
| Dec 30, 2022 at 21:15 | answer | added | NinjaDarth | timeline score: 9 | |
| Aug 8, 2021 at 18:03 | comment | added | Ivan Solonenko | One can study irreducible unitary representations of certain Lie groups by looking at their coadjoint orbits, this was first discovered by Kirillov: en.m.wikipedia.org/wiki/Orbit_method | |
| Aug 8, 2021 at 14:11 | history | asked | Jannik Pitt | CC BY-SA 4.0 |