Howe correspondence for real unitary groups

DOI10.1006/jfan.1998.3330zbMath0924.22012OpenAlexW1981549357MaRDI QIDQ1281644

Annegret Paul

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1998.3330

zbMATH Keywords

symplectic groupirreducible representationsLanglands parametersinduced representationsdiscrete series representationsreductive dual pairreal reductive Lie groups

Mathematics Subject Classification ID

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

Related Items

The explicit duality correspondence of (\(\text{Sp}(p,q),\text{O}^{*}(2n)\)) ⋮ Refined global Gan-Gross-Prasad conjecture for Bessel periods ⋮ The explicit theta correspondence for reductive dual pairs \((\mathrm{Sp}(p,q),O^{\ast}(4))\) ⋮ Characters of irreducible unitary representations of 𝑈(𝑛,𝑛+1) via double lifting from 𝑈(1) ⋮ Explicit induction principle and symplectic-orthogonal theta lifts ⋮ On the Gan-Gross-Prasad conjecture for \(U(p, q)\) ⋮ Coincidence of algebraic and smooth theta correspondences ⋮ Bessel models for real unitary groups: the tempered case ⋮ Theta series and generalized special cycles on Hermitian locally symmetric manifolds ⋮ Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups ⋮ \(L\)-functions and theta correspondence for classical groups ⋮ The Hodge conjecture and arithmetic quotients of complex balls ⋮ Parity preservation of $K$-types under theta correspondence ⋮ Archimedean zeta integrals on \(U(n,1)\) ⋮ 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 ⋮ Archimedean zeta integrals on \(U(2,1)\) ⋮ One-dimensional representations of \({U(p,q)}\) and the Howe correspondence

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