Characters, dual pairs, and unipotent representations

DOI10.1016/0022-1236(91)90091-IzbMath0746.22012OpenAlexW2088959534MaRDI QIDQ1175021

Tomasz Przebinda

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90091-i

zbMATH Keywords

representationswave-front setnilpotent coadjoint orbitsHowe liftreal dual reductive pairs

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items

Nilpotent orbits and complex dual pairs ⋮ Characters of irreducible unitary representations of 𝑈(𝑛,𝑛+1) via double lifting from 𝑈(1) ⋮ Characters of some unitary highest weight representations via the theta correspondence ⋮ The wave front set correspondence for dual pairs with one member compact ⋮ Generalized and degenerate Whittaker models ⋮ Theta lifting of holomorphic discrete series: The case of $ U(n, n) \times U(p, q) $ ⋮ Semisimple orbital integrals on the symplectic space for a real reductive dual pair ⋮ Lifting of characters on orthogonal and metaplectic groups ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ Local theta lifting of generalized Whittaker models associated to nilpotent orbits ⋮ Characters, dual pairs, and unitary representations

Cites Work

• Singular unitary representations of classical groups
• On Howe's duality theorem
• The local structure of characters
• Quantum mechanics and partial differential equations
• Primitive ideals and orbital integrals in complex classical groups
• The wave front set and the asymptotic support for \(p\)-adic groups
• The characters of representations of Harish-Chandra
• Orbital integrals in reductive groups
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Transcending Classical Invariant Theory
• The oscillator duality correspondence for the pair 𝑂(2,2),𝑆𝑝(2,𝑅)
• Remarks on Classical Invariant Theory
• The duality correspondence of infinitesimal characters
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