Unitary representations of the (4+1) de Sitter group on unitary irreducible representation spaces of the Poincaré group: Equivalence with their realizations as induced representations

DOI10.1063/1.526795zbMath0554.22007OpenAlexW1993042012MaRDI QIDQ3216819

No author found.

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526795

zbMATH Keywords

covering groupinduced representations\((4+1)\) de Sitter groupprincipal continuous series of unitary irreducible representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

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Cites Work

• Localizable representations of the De Sitter group
• Nonrelativistic particles and wave equations
• A note on the representations of the De Sitter group
• Irreducible unitary representations of the Lorentz group
• Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group
• Representation theory of the universal covering of the Euclidean conformal group and conformal invariant Green’s functions
• Group Theoretical Discussion of Relativistic Wave Equations