Representations of the Poincaré Lie algebra from unitary representations of SO(1,4)

DOI10.1063/1.532287zbMath1042.17503OpenAlexW2051058362WikidataQ115328893 ScholiaQ115328893MaRDI QIDQ4260560

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Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532287

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Complementary series and exotic Sobolev norms
• Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group
• An embedding of the Poincaré Lie algebra into an extension of the Lie field of SO0(1,4)
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• ``Lorentz Basis of the Poincaré Group

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