On Representations of the Conformal Group Which When Restricted to Its Poincaré or Weyl Subgroups Remain Irreducible

DOI10.1063/1.1665843zbMath0242.20053OpenAlexW1982252214MaRDI QIDQ5652891

Jouko Mickelsson, Jiří Niederle

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1665843

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Applications of linear algebraic groups to the sciences (20G45)

Related Items (4)

On dynamical groups: Classification of Lie algebras with Galilei subalgebras ⋮ Poincaré subalgebras in so(4, 2) and sl(5,R) ⋮ On unitary implementability of conformal transformations ⋮ Spinor-helicity formalism for massless fields in \(\mathrm{AdS}_4\). II: Potentials

Cites Work

• The physical aspects of the conformal group \(\text{SO}_0(4,2)\)
• Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero
• Norm Invariance of Mass-Zero Equations under the Conformal Group
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• Decompositions of Discrete Most Degenerate Representations of SO(p, q) when Restricted to Representations of SO(p, q − 1) or SO(p − 1, q)
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
• Group Theoretical Discussion of Relativistic Wave Equations
• The Definition of Moving Coordinate Systems in Relativistic Theories

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