Local theta correspondence of tempered representations and Langlands parameters
By Hiraku Atobe, W. Gan. 2016
61 citations recorded by the source corpus.
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field F of characteristic 0. We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/656e82b7488e43aa5cd2a86d13d0e336b4202fe2
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In Geometry and Topology
- W. Gan
- Dipendra Prasad
- B. Gross
- Manjul Bhargava
- Atsushi Ichino
- Hiraku Atobe
- Mark Reeder
- Xiaoheng Wang
In Mathematical Physics
- W. Gan
- Dipendra Prasad
- B. Gross
- Manjul Bhargava
- Atsushi Ichino
- Wei Zhang
- Michael Rapoport
- Hiraku Atobe
Citations in the corpus
- Branching laws for classical groups: the non-tempered case (2019, background): “s toonefor G×SO(V). If σ∈Irr(G)hastemperedA-parameter M0, oneknowsprecisely how to describe its small theta lift θψ(σ) to SO(V) in terms of the local Langlands correspondence (see [Mu1, Mu2, Mu3] and [AG]). From this description, one sees that θψ(σ) is of Arthur type with A-parameter of the form ( M”