Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group

DOI10.1063/1.525669zbMath0535.22019OpenAlexW1976119590MaRDI QIDQ3318978

No author found.

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525669

zbMATH Keywords

spinDirac theoryPoincaré groupde Sitter groupprincipal continuous series of unitary representations

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Representations of the Poincaré Lie algebra from unitary representations of SO(1,4), An embedding of the Poincaré Lie algebra into an extension of the Lie field of SO0(1,4), 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, Linearly and nonlinearly transforming fields on homogeneous spaces of the (4,1)-de Sitter group, On the integrability of certain symmetric representations of the Lie algebra of SO0(4,1), Harmonic analysis on spannors, Discrete symmetries for spinor field in de Sitter space, Laplacian on fuzzy de Sitter space

Cites Work

• Analytic vectors
• Harmonic analysis on hyperboloids
• On unitary representations of the group of de Sitter space
• A note on the representations of the De Sitter group
• Wigner Coefficients for the R4 Group and Some Applications
• On the classification of Clifford algebras and their relation to spinors in n dimensions
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• On the L—S Basis of the Poincaré Group for the Case of Nonzero Rest Mass
• Unitary Representations of the Homogeneous Lorentz Group in an O(2, 1) Basis
• ``Lorentz Basis of the Poincaré Group
• Relativistic wave equations
• Über freie teilchen mit nichtverschwindender masse und beliebiger spinquantenzahl
• Group Theoretical Discussion of Relativistic Wave Equations
• Note on Continuous Representations of Lie Groups