Reductive dual pair correspondence for complex groups
From MaRDI portal
Publication:1897284
DOI10.1006/jfan.1995.1099zbMath0841.22014OpenAlexW2055009585MaRDI QIDQ1897284
Dan Barbasch, Jeffrey D. Adams
Publication date: 27 August 1995
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1995.1099
representation\(K\)-typeoscillator representationsorthogonal pairssymplectic pairscomplex reductive dual pairstheta-correspondences
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
The explicit duality correspondence of (\(\text{Sp}(p,q),\text{O}^{*}(2n)\)), The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\), The explicit theta correspondence for reductive dual pairs \((\mathrm{Sp}(p,q),O^{\ast}(4))\), Some local-global non-vanishing results for theta lifts from orthogonal groups, On special Bessel periods and the Gross-Prasad conjecture for \(\mathrm {SO}(2n+1) \times \mathrm {SO}(2)\), Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2, Explicit induction principle and symplectic-orthogonal theta lifts, Coincidence of algebraic and smooth theta correspondences, The Local Langlands Conjecture for, Automorphic descent for symplectic groups: The branching problems and L -functions, Skew Howe duality and limit shapes of Young diagrams, The local Langlands conjecture for \(\text{GSp}(4)\), Massless Poincaré modules and gauge invariant equations, Formal degrees and local theta correspondence, On the occurrence of admissible representations in the real Howe correspondence in stable range, Lifting of characters on orthogonal and metaplectic groups, On endoscopy and the refined Gross–Prasad conjecture for (SO5, SO4), Symplectic-orthogonal theta lifts of generic discrete series, Dirac index and twisted characters, Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence, Theta-lifting and geometric quantization for \(\mathrm {GL}(n,\mathbb C)\), Parity preservation of $K$-types under theta correspondence, Finite-reductive dual pairs in \(G_2\), Regular functions of symplectic spherical nilpotent orbits and their quantizations, First eigenvalue of Laplace operator on locally symmetric space, Theta correspondence of automorphic characters, On the non-vanishing of theta liftings of tempered representations of \(U(p,q)\), Howe correspondence for real unitary groups, A generalized Theta lifting, CAP representations, and Arthur parameters, Theta lifting for tempered representations of real unitary groups, On the Howe correspondence for symplectic-orthogonal dual pairs, Howe correspondence for real unitary groups II, Conservation relations for local theta correspondence, One-dimensional representations of \({U(p,q)}\) and the Howe correspondence
