Singular unitary highest weight representations via geometric quantization

DOI10.1016/S0034-4877(97)85917-4zbMath0901.22009MaRDI QIDQ1387173

Joachim Hilgert

Publication date: 12 November 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

representationclassical Lie groupKirillov's orbit methodunitarizable highest weight representation

Mathematics Subject Classification ID

Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

• Hermitian symmetric spaces and their unitary highest weight modules
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Unitary highest weight representations via the orbit method. I: The scalar case
• Coherent states, holomorphic extensions, and highest weight representations
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