A Simple Expression for the Casimir Operator on a Lie Group

DOI10.2307/2042196zbMath0436.22007OpenAlexW4235175423MaRDI QIDQ3876145

Mary J. Anderson

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042196

zbMATH Keywords

principal series representationsreal semisimple Lie groupIwasawa decompositionCasimir operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Related Items (1)

Lie groups

Cites Work

• Unnamed Item
• On an infinitesimal characterization of the discrete series
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• Spherical transforms on semisimple Lie groups
• Dirac operator and the discrete series
• Invariant Differential Operators on a Real Semisimple Lie Algebra and their Radial Components

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