Timeline for lie groups and coset manifolds
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2014 at 10:08 | comment | added | abx | For a more general statement, see Bourbaki, Lie groups and Lie algebras, Chapter 3, §1, Proposition 13. | |
| Feb 4, 2014 at 9:50 | comment | added | Ben McKay | Yes, and the map is $gH \mapsto (gH)(K/H)$. Check that it descends to a map $G/K \to (G/H)/(K/H)$ and is 1-1. Because it is $G$-equivariant, it is a smooth map of homogeneous spaces, and a smooth fiber bundle map. Since it is 1-1, it is a diffeomorphism. | |
| Feb 4, 2014 at 9:40 | history | asked | Jayq | CC BY-SA 3.0 |