Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in \(3+1\) dimensions by the tensor product of two other massless representations with definite helicity

DOI10.1007/BF00398594zbMath0649.22014MaRDI QIDQ1105710

Guy Rideau

Publication date: 1988

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

zbMATH Keywords

cocyclesmassless particlesflat space-timePoincaré grouphelicityinfinite-dimensional irreducible unitary spinor representations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80)

Related Items (2)

Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time ⋮ Evolution equations invariant under two-dimensional space–time Schrödinger group

Cites Work

• An analytic nonlinear representation of the Poincaré group
• An analytic nonlinear representation of the Poincaré group. II: The case of helicities \(\pm\)
• Nontrivial extensions of a representation of the Poincaré group with mass and helicity zero by its tensorial product
• Formal linearization of nonlinear massive representations of the connected Poincaré group

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