Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-03T12:36:52.596Z Has data issue: false hasContentIssue false
  • English
  • Français

Topological conjugacy of automorphism flows on compact Lie groups

Published online by Cambridge University Press:  01 April 2000

SIDDHARTHA BHATTACHARYA
SIDDHARTHA BHATTACHARYA
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400005, India (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

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
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 335 - 342
Copyright
© 2000 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)