Article contents
Topological conjugacy of automorphism flows on compact Lie groups
Published online by Cambridge University Press: 01 April 2000
Abstract
Let $G$ be a compact connected Lie group and ${\rm Aut}(G)$ be the group of Lie automorphisms of $G$. We describe a condition on $G$ under which topological conjugacy of the flows on $G$ induced by two one-parameter subgroups $\phi$ and $\psi$ of ${\rm Aut}(G)$ implies conjugacy of $\phi$ and $\psi$ in ${\rm Aut}(G)$. The condition is verified for $Sp(n)$, $SO(2n+1)$ and ${\rm Spin}(2n+1)$.
- Type
- Research Article
- Information
- Copyright
- © 2000 Cambridge University Press
- 2
- Cited by