Invariance groups and convergence of types of measures on Lie groups

DOI10.1017/S030500410007078XzbMath0765.43001OpenAlexW2078228456WikidataQ115336063 ScholiaQ115336063MaRDI QIDQ4034722

Shrikrishna G. Dani

Publication date: 16 May 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410007078x

zbMATH Keywords

groups of automorphismsconnected Lie groupaffine automorphismsconvergence-of-type theoremsweakly convergent sequences of probability measures

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Measures on groups and semigroups, etc. (43A05) Lie groups (22E99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

On automorphism groups of connected Lie groups ⋮ Semistable measures and limit theorems on real and \(p\)-adic groups

Cites Work

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• On ergodic quasi-invariant measures of group automorphism
• Factors, roots and embeddability of measures on Lie groups
• Groupes reductifs
• Über den Typenkonvergenzsatz auf zusammenhängenden Lie Gruppen. (On the convergence-of-types-theorem on connected Lie groups)
• Injective Morphisms of Real Algebraic Varieties
• Dense Orbits of Affine Automorphisms and Compactness of Groups
• On the Automorphism Group of a Lie Group
• Ergodicity of Flows on Homogeneous Spaces

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