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

By

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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