Howe correspondence for real unitary groups II

DOI10.1090/S0002-9939-00-05359-4zbMath0956.22008OpenAlexW2070616312MaRDI QIDQ4501107

Annegret Paul

Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05359-4

zbMATH Keywords

irreducible representationsoscillator representationLanglands parametersreductive dual pairsdiscrete series representationsdual pairsOscillator representationHowe correspondence

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

On the Gan-Gross-Prasad conjecture for \(U(p, q)\), Bessel models for real unitary groups: the tempered case, On the non-vanishing of theta liftings of tempered representations of \(U(p,q)\), Theta lifting for tempered representations of real unitary groups, On the Howe correspondence for symplectic-orthogonal dual pairs, One-dimensional representations of \({U(p,q)}\) and the Howe correspondence

Cites Work

• Theta lifting for unitary representations with nonzero cohomology
• On the local theta-correspondence
• Reductive dual pair correspondence for complex groups
• Unitarizability of certain series of representations
• Transcending Classical Invariant Theory
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