Unitary highest weight representations via the orbit method. I: The scalar case

DOI10.1007/BF00116520zbMath0864.22006OpenAlexW2063606907MaRDI QIDQ1815377

Joachim Hilgert, Karl-Hermann Neeb, Bent Orsted

Publication date: 22 June 1997

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00116520

zbMATH Keywords

Laplace transformHilbert spacehighest weight representationsreproducing kernelssimple Lie grouporbit methodnilpotent orbitsSiegel domains

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (4)

Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero ⋮ Singular unitary highest weight representations via geometric quantization ⋮ Information geometry, Jordan algebras, and a coadjoint orbit-like construction ⋮ Nets of standard subspaces induced by antiunitary representations of admissible Lie groups I

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• Differential operators and highest weight representations

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