Nonabelian cohomology of compact Lie groups
| dc.creator | An, Jinpeng | |
| dc.creator | Liu, Ming | |
| dc.creator | Wang, Zhengdong | |
| dc.date | 2009-04-19 | |
| dc.date.accessioned | 2026-07-07T13:05:51Z | |
| dc.date.available | 2026-07-07T13:05:51Z | |
| dc.description | Given a Lie group $G$ with finitely many components and a compact Lie group A which acts on $G$ by automorphisms, we prove that there always exists an A-invariant maximal compact subgroup K of G, and that for every such K, the natural map $H^1(A,K)\to H^1(A,G)$ is bijective. This generalizes a classical result of Serre [6] and a recent result in [1]. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0904.2903 | |
| dc.identifier | http://arxiv.org/abs/0904.2903 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227627 | |
| dc.subject | Group Theory | |
| dc.subject | 20J06; 22E15; 57S15 | |
| dc.title | Nonabelian cohomology of compact Lie groups | |
| dc.type | text |