Irreducibility of Certain Universal Holomorphic Harish-Chandra Modules

DOI10.1081/AGB-120019004zbMath1018.22010MaRDI QIDQ4807589

Dominic Lanphier

Publication date: 19 May 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Casimir operatorHarish-Chandra modulelowest \(K\)-type

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Unnamed Item
• Description of unitary representations with highest weight for groups U(p,q)
• Holomorphic discrete series for the real symplectic group
• Categories of highest weight modules: applications to classical Hermitian symmetric pairs
• Enright-Shelton theory and Vogan’s problem for generalized principal series

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