On the Quasi-Simple Irreducible Representations of the Lorentz Groups

DOI10.2307/1996515zbMath0258.22016OpenAlexW4238704975MaRDI QIDQ5673656

Ernest Thieleker

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996515

Mathematics Subject Classification ID

Structure and representation of the Lorentz group (22E43)

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Cites Work

• Non-unitary dual spaces of groups
• Intertwining operators and the representations of \(SL(2,R)\)
• Intertwining operators for semisimple groups
• Irreducible unitary representations of the Lorentz group
• Sur les représentations induites des groupes de Lie
• On infinitesimal operators of irreducible representations of the Lorentz group of $n$-th order
• On irreducible representations of the Lorentz group of $n$-th order
• The characters of irreducible representations of the Lorentz group of $n$-th order
• Sur les représentations unitaires des groupes de Lorentz généralisés
• On the Irreducibility of Nonunitary Induced Representations of Certain Semidirect Products
• Représentations intégrables du groupe de De Sitter
• On the existence and irreducibility of certain series of representations
• A Theory of Spherical Functions. I
• Representations of a Semisimple Lie Group on a Banach Space. I
• Representations of semisimple Lie groups. II
• The Plancherel Formula For Complex Semisimple Lie Groups
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