On the unitary irreducible representations of SO(n,1) and U(n,1) in the scalar product with the nonintertwining operator

DOI10.1063/1.529316zbMath0741.22018OpenAlexW1995466007MaRDI QIDQ3981681

Takayoshi Maekawa

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529316

zbMATH Keywords

multipliersunitary representationscomplementary seriesmatrix elementsprincipal nonunitary series representationsprincipal unitary series representationsreal rank 1 groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

Related Items

Note on the unitary irreducible representations of U(n) in the scalar product with the nonintertwining operator

Cites Work

• A classification of the unitary irreducible representations of \(SO_ 0 (N,1)\)
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• On irreducible representations of the Lorentz group of $n$-th order
• On the invariant scalar products and the UIR of SO  (n,1)
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• Unitary Irreducible Representations of the Groups SO(n, 1)
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)
• The unitary representations of the generalized Lorentz groups