Sankhya: The Indian Journal of Statistics
2000, Volume 62, Series A, Pt. 3, pp. 360--366
ON AUTOMORPHISM GROUPS ACTING ERGODICALLY ON CONNECTED LOCALLY COMPACT GROUPS
S.G. DANI, Tata Institute of Fundamental Research, Mumbai
SUMMARY. We show that a connected Lie group admitting an ergodic group of Lie automorphisms is nilpotent. Some extensions of this and examples are discussed.
AMS (1991) subject classification. 22D40, 37A99.
Key words and phrases. Ergodic automorphism groups.
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