Topological conjugacy of automorphism flows on compact Lie groups
2000 ◽
Vol 20
(2)
◽
pp. 335-342
◽
Keyword(s):
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 ${\rm Spin}(2n+1)$.
Keyword(s):
1968 ◽
Vol 32
◽
pp. 109-139
◽
Keyword(s):
1982 ◽
Vol 33
(2)
◽
pp. 185-192
◽
Keyword(s):
1985 ◽
Vol 38
(1)
◽
pp. 55-64
◽
Keyword(s):
2013 ◽
Vol 12
(08)
◽
pp. 1350055
2000 ◽
Vol 03
(03)
◽
pp. 337-362
◽
Keyword(s):
2011 ◽
Vol 54
(2)
◽
pp. 207-216
◽
Keyword(s):
2017 ◽
Vol 14
(09)
◽
pp. 1750126
1986 ◽
Vol 99
(2)
◽
pp. 297-305
◽