A geometric construction of local representations of local Lie groups

DOI10.1007/BF00047666zbMath0748.43005WikidataQ115395291 ScholiaQ115395291MaRDI QIDQ1182605

Humberto E. Prado

Publication date: 28 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

local representationlocal Lie groupssimply connected Lie grouplocal multiplier actionpositive semi-definite Hermitian form

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Local Lie groups (22E05)

Cites Work

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• From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity
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• Analytic continuation of local representations of symmetric spaces
• Distributions spheriques sur les espaces hyperboliques
• Unbounded, symmetric semigroups on a separable Hilbert space are essentially selfadjoint
• Construction of a unique self-adjoint generator for a symmetric local semigroup
• Axioms for Euclidean Green's functions
• Analytic continuation of local representations of Lie groups
• Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\)
• Reflection Positivity for Unitary Representations of Lie Groups

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