Nuclearity of some spaces of C∞ vectors in induced representations

DOI10.1063/1.523906zbMath0415.22011OpenAlexW2028392517MaRDI QIDQ3050649

Didier Arnal

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1063/1.523906

zbMATH Keywords

differentiable vectorsPoincare groupinhomogeneous Lie groupsirreducible unitary induced representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Reduction on the Lorentz subgroup of UIR's of the Poincaré group induced by a semisimple little group

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