Timeline for Continuous families of finite subgroups of a Lie group
Current License: CC BY-SA 3.0
3 events
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| Jun 8, 2015 at 21:41 | comment | added | Alexander Alldridge | There is a more general discussion of the conjugacy of nearby fibres (beyond the compact case) in the following article: D. Coppersmith, Deformations of Lie subgroups, Trans. Amer. Math. Soc. 233 (1977), 355-366. link | |
| Feb 12, 2015 at 21:05 | comment | added | YCor | Here's a reference. The precise result is: Let $G$ be a compact Lie group. Let $F$ be a finite group. Then the space $Hom(F,G)$ can be viewed as the set of real points of some algebraic variety. Then the result is that all real points in each component are conjugate under $G_0$. Reference: D.H. Lee, T.S. Wu. On conjugacy of homomorphisms of topological groups. Illinois J. Math. 13 1969 694–699. | |
| Feb 12, 2015 at 18:39 | history | answered | Misha | CC BY-SA 3.0 |