theta correspondence
Recently Published Documents


TOTAL DOCUMENTS

86
(FIVE YEARS 5)

H-INDEX

12
(FIVE YEARS 0)

2021 ◽  
Vol 25 (30) ◽  
pp. 861-896
Author(s):  
Rui Chen ◽  
Jialiang Zou

Using the theta correspondence, we extend the classification of irreducible representations of quasi-split unitary groups (the so-called local Langlands correspondence, which is due to Mok) to non quasi-split unitary groups. We also prove that our classification satisfies some good properties, which characterize it uniquely. In particular, this paper provides an alternative approach to the works of Kaletha-Mínguez-Shin-White and Mœglin-Renard.





Author(s):  
Petar Bakić ◽  
Marcela Hanzer

Abstract We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Langlands parameters, the small theta lifts on all levels.



Author(s):  
Wee Teck Gan ◽  
Xiaolei Wan
Keyword(s):  


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Hengfei Lu

AbstractThis paper studies the Prasad conjecture for the special orthogonal group \mathrm{SO}_{3,3}. Then we use the local theta correspondence between \mathrm{Sp}_{4} and \mathrm{O}(V) to study the \mathrm{Sp}_{4}-distinction problems over a quadratic field extension E/F and \dim V=4 or 6. Thus we can verify the Prasad conjecture for a square-integrable representation of \mathrm{Sp}_{4}(E).



2020 ◽  
Vol 306 (2) ◽  
pp. 587-609
Author(s):  
Dongwen Liu ◽  
Zhicheng Wang


2020 ◽  
Vol 156 (6) ◽  
pp. 1231-1261
Author(s):  
Wee Teck Gan ◽  
Gordan Savin

We show a Siegel–Weil formula in the setting of exceptional theta correspondence. Using this, together with a new Rankin–Selberg integral for the Spin L-function of $\text{PGSp}_{6}$ discovered by Pollack, we prove that a cuspidal representation of $\text{PGSp}_{6}$ is a (weak) functorial lift from the exceptional group $G_{2}$ if its (partial) Spin L-function has a pole at $s=1$.



Sign in / Sign up

Export Citation Format

Share Document