The Mautner phenomenon for p-adic Lie groups

DOI10.1007/BF01215048zbMath0539.22015WikidataQ115393865 ScholiaQ115393865MaRDI QIDQ793855

John S. P. Wang

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173410

zbMATH Keywords

unitary representationcontractionsLebesgue spectrump-adic Lie groupdecomposition of p-adic Lie algebrasMautner phenomenonorbits of groups of automorphisms

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Lie algebras of Lie groups (22E60) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over local fields (22E50)

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Cites Work

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• Unitary representations of group extensions. I
• Geodesic flows on symmetric Riemann spaces
• The Mautner phenomenon for general unitary representations
• On isolated points in the dual spaces of locally compact groups
• Spectrum of an affine transformation
• Asymptotic properties of unitary representations
• On some types of topological groups
• Topological groups with invariant compact neighborhoods of the identity
• Induced representation of locally compact groups. I
• Flows on Homogeneous Spaces: A New Look
• On the Mautner Phenomenon and Groups with Property (T)
• Ergodicity of Flows on Homogeneous Spaces
• G-Induced Flows