Construction of indecomposable representations of inhomogeneous Lie groups

DOI10.1063/1.528341zbMath0672.22025OpenAlexW2066162243WikidataQ115331851 ScholiaQ115331851MaRDI QIDQ3825266

Vittorio Cantoni

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528341

zbMATH Keywords

Lie groupsLie algebrasindecomposable representationsPoincaré groupinhomogeneous Lorentz group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43)

Cites Work

• Lorentz-invariant operators on continuously decomposable fields
• On the structure of the representations of the Poincaré group with zero mass and discrete helicity
• Construction of representations of the Poincaré Lie algebra by extension of direct integrals of representations of SL(2,C)
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik

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