Review and concrete description of the irreducible unitary representations of the universal cover of the complexified Poincaré group

DOI10.1142/S0129055X22300047MaRDI QIDQ5889770

Luigi Borasi

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2108.10726

zbMATH Keywords

unitary representationcomplexificationsemisimple Lie groupPoincaré grouprelativistic quantum field theoryWigner-Mackey theory

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Groups and algebras in quantum theory (81R99) Applications of group representations to physics and other areas of science (20C35)

Cites Work

• Unitary and non-unitary representations of the complex inhomogeneous Lorentz group
• Induced representation of locally compact groups. I
• Induced Representations of Locally Compact Groups
• Cross sections for quotient maps of locally compact groups.
• Representations of the Poincaré group associated to complex energy-momentum
• Nonunitary representations of the Poincaré group and field theory of unstable particles
• Induced representations of 𝐶*-algebras
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