Indecomposable modules of the Poincaré algebra in an energy-cyclic angular momentum basis

DOI10.1063/1.527524zbMath0632.22016OpenAlexW2037974627MaRDI QIDQ3769109

Romuald Lenczewski

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527524

zbMATH Keywords

universal enveloping algebraPoincaré algebraInfinite-dimensional induced modulesVerma modules of the Lorentz algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Structure and representation of the Lorentz group (22E43)

Cites Work

• Indecomposable representations of the Lorentz algebra in an angular momentum basis
• Indecomposable representations of the Poincare algebra
• Structure of certain induced representations of complex semisimple Lie algebras

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