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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: siddhart@math.tifr.res.in)
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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

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