Unitary representations and theta correspondence for type I classical groups

DOI10.1016/S0022-1236(02)00170-2zbMath1021.22008arXivmath/0210371OpenAlexW2097414061MaRDI QIDQ1874686

Hongyu He

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210371

zbMATH Keywords

oscillator representationtheta correspondencedual reductive pair

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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Cites Work

• Singular unitary representations of classical groups
• Characters, dual pairs, and unitary representations
• Transcending Classical Invariant Theory
• THETA CORRESPONDENCE I — SEMISTABLE RANGE: CONSTRUCTION AND IRREDUCIBILITY
• Les Fonctions De Type Positif et la Theorie Des Groupes
• Lie groups beyond an introduction
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