Unitarizable highest weight modules of the conformal group

DOI10.1016/S0001-8708(82)80011-XzbMath0497.22018MaRDI QIDQ1170643

Floyd L. Williams

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

semisimple Lie groupSegal-Shale-Weil representationhighest-weight representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Cites Work

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• On singular holomorphic representations
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• Wave and Dirac operators, and representations of the conformal group
• On the Segal-Shale-Weil representations and harmonic polynomials
• Limits of holomorphic discrete series
• Holomorphic discrete series for the real symplectic group
• Distributions on Minkowski space and their connection with analytic representations of the conformal group
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• Representations of Semisimple Lie Groups, V
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The Analytic Continuation of the Discrete Series. II
• The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group
• Hermitian Lie Algebras and Metaplectic Representations. I

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