Topological properties of Ad-semisimple conjugacy classes in Lie groups
| dc.creator | An, Jinpeng | |
| dc.date | 2006-08-11 | |
| dc.date.accessioned | 2026-07-07T07:21:39Z | |
| dc.date.available | 2026-07-07T07:21:39Z | |
| dc.description | We prove that Ad-semisimple conjugacy classes in a connected Lie group $G$ are closed embedded submanifolds of $G$. We also prove that if $α:H\to G$ is a homomorphism of connected Lie groups such that the kernel of $α$ is discrete in $H$, then for an Ad-semisimple conjugacy class $C$ in $G$, every connected component of $α^{-1}(C)$ is a conjugacy class in $H$. Corresponding results for adjoint orbits in real Lie algebras are also proved. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608280 | |
| dc.identifier | http://arxiv.org/abs/math/0608280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115378 | |
| dc.subject | Group Theory | |
| dc.subject | 22E15; 17B05; 57S25 | |
| dc.title | Topological properties of Ad-semisimple conjugacy classes in Lie groups | |
| dc.type | text |